10329984 has 192 divisors, whose sum is σ = 36046800. Its totient is φ = 2903040.

The previous prime is 10329971. The next prime is 10329997. The reversal of 10329984 is 48992301.

10329984 is digitally balanced in base 2 and base 4, because in such bases 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 (10329971) and next prime (10329997).

It is a tau number, because it is divible by the number of its divisors (192).

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

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, 169314 + ... + 169374.

Almost surely, 2^10329984 is an apocalyptic number.

10329984 is a gapful number since it is divisible by the number (14) 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 10329984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18023400).

10329984 is an abundant number, since it is smaller than the sum of its proper divisors (25716816).

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

10329984 is an equidigital number, since it uses as much as digits as its factorization.

10329984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 10329984 is about 3214.0292469111. The cubic root of 10329984 is about 217.7876337187.

The spelling of 10329984 in words is "ten million, three hundred twenty-nine thousand, nine hundred eighty-four".