10085880 has 64 divisors (see below), whose sum is σ = 34583040. Its totient is φ = 2305152.

The previous prime is 10085857. The next prime is 10085893. The reversal of 10085880 is 8858001.

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 15 ways as a sum of consecutive naturals, for example, 5164 + ... + 6843.

It is an arithmetic number, because the mean of its divisors is an integer number (540360).

Almost surely, 2^10085880 is an apocalyptic number.

10085880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10085880 is an abundant number, since it is smaller than the sum of its proper divisors (24497160).

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

10085880 is a wasteful number, since it uses less digits than its factorization.

10085880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12028 (or 12024 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 30.

The square root of 10085880 is about 3175.8274512322. The cubic root of 10085880 is about 216.0584546869.

The spelling of 10085880 in words is "ten million, eighty-five thousand, eight hundred eighty".