10032680 has 32 divisors (see below), whose sum is σ = 25799040. Its totient is φ = 3439680.

The previous prime is 10032677. The next prime is 10032683. The reversal of 10032680 is 8623001.

It is an interprime number because it is at equal distance from previous prime (10032677) and next prime (10032683).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (10032683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17636 + ... + 18195.

It is an arithmetic number, because the mean of its divisors is an integer number (806220).

Almost surely, 2^10032680 is an apocalyptic number.

10032680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10032680 is an abundant number, since it is smaller than the sum of its proper divisors (15766360).

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

10032680 is a wasteful number, since it uses less digits than its factorization.

10032680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35849 (or 35845 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 10032680 is about 3167.4406071780. The cubic root of 10032680 is about 215.6779035632.

Adding to 10032680 its reverse (8623001), we get a palindrome (18655681).

The spelling of 10032680 in words is "ten million, thirty-two thousand, six hundred eighty".