10329948 has 36 divisors (see below), whose sum is σ = 27649440. Its totient is φ = 3240576.

The previous prime is 10329947. The next prime is 10329953. The reversal of 10329948 is 84992301.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10329941) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7828 + ... + 9051.

It is an arithmetic number, because the mean of its divisors is an integer number (768040).

Almost surely, 2^10329948 is an apocalyptic number.

10329948 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10329948 is an abundant number, since it is smaller than the sum of its proper divisors (17319492).

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

10329948 is a wasteful number, since it uses less digits than its factorization.

10329948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16906 (or 16901 counting only the distinct ones).

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

The square root of 10329948 is about 3214.0236464594. The cubic root of 10329948 is about 217.7873807218.

The spelling of 10329948 in words is "ten million, three hundred twenty-nine thousand, nine hundred forty-eight".