10330032 has 80 divisors (see below), whose sum is σ = 28435680. Its totient is φ = 3225600.

The previous prime is 10330027. The next prime is 10330043. The reversal of 10330032 is 23003301.

It is a happy number.

It is a super-2 number, since 2×10330032² = 213419122242048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56982 + ... + 57162.

It is an arithmetic number, because the mean of its divisors is an integer number (355446).

Almost surely, 2^10330032 is an apocalyptic number.

10330032 is a gapful number since it is divisible by the number (12) 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 10330032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14217840).

10330032 is an abundant number, since it is smaller than the sum of its proper divisors (18105648).

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

10330032 is a wasteful number, since it uses less digits than its factorization.

10330032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 10330032 is about 3214.0367141649. The cubic root of 10330032 is about 217.7879710471.

Adding to 10330032 its reverse (23003301), we get a palindrome (33333333).

It can be divided in two parts, 103 and 30032, that added together give a triangular number (30135 = T₂₄₅).

The spelling of 10330032 in words is "ten million, three hundred thirty thousand, thirty-two".