10785120 has 48 divisors (see below), whose sum is σ = 33974640. Its totient is φ = 2875904.

The previous prime is 10785119. The next prime is 10785133. The reversal of 10785120 is 2158701.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 10755 + ... + 11714.

It is an arithmetic number, because the mean of its divisors is an integer number (707805).

Almost surely, 2^10785120 is an apocalyptic number.

10785120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10785120 is an abundant number, since it is smaller than the sum of its proper divisors (23189520).

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

10785120 is a wasteful number, since it uses less digits than its factorization.

10785120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22487 (or 22479 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 24.

The square root of 10785120 is about 3284.0706447944. The cubic root of 10785120 is about 220.9403277261.

The spelling of 10785120 in words is "ten million, seven hundred eighty-five thousand, one hundred twenty".