10585920 has 56 divisors (see below), whose sum is σ = 33613344. Its totient is φ = 2822656.

The previous prime is 10585909. The next prime is 10585931. The reversal of 10585920 is 2958501.

It is an interprime number because it is at equal distance from previous prime (10585909) and next prime (10585931).

It is a super-2 number, since 2×10585920² = 224123404492800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4554 + ... + 6473.

Almost surely, 2^10585920 is an apocalyptic number.

10585920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10585920 is an abundant number, since it is smaller than the sum of its proper divisors (23027424).

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

10585920 is a wasteful number, since it uses less digits than its factorization.

10585920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11047 (or 11037 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 30.

The square root of 10585920 is about 3253.6010818784. The cubic root of 10585920 is about 219.5716181913.

The spelling of 10585920 in words is "ten million, five hundred eighty-five thousand, nine hundred twenty".