10329696 has 144 divisors (see below), whose sum is σ = 33022080. Its totient is φ = 3041280.

The previous prime is 10329689. The next prime is 10329703. The reversal of 10329696 is 69692301.

10329696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10329689) and next prime (10329703).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 10329696.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116020 + ... + 116108.

It is an arithmetic number, because the mean of its divisors is an integer number (229320).

Almost surely, 2^10329696 is an apocalyptic number.

10329696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10329696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16511040).

10329696 is an abundant number, since it is smaller than the sum of its proper divisors (22692384).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10329696 is a wasteful number, since it uses less digits than its factorization.

10329696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 10329696 is about 3213.9844430240. The cubic root of 10329696 is about 217.7856097265.

It can be divided in two parts, 10329 and 696, that added together give a square (11025 = 105²).

The spelling of 10329696 in words is "ten million, three hundred twenty-nine thousand, six hundred ninety-six".