10075920 has 40 divisors (see below), whose sum is σ = 31236096. Its totient is φ = 2686848.

The previous prime is 10075903. The next prime is 10075921. The reversal of 10075920 is 2957001.

10075920 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

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

It is not an unprimeable number, because it can be changed into a prime (10075921) 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, 20752 + ... + 21231.

Almost surely, 2^10075920 is an apocalyptic number.

10075920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10075920 is an abundant number, since it is smaller than the sum of its proper divisors (21160176).

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

10075920 is a wasteful number, since it uses less digits than its factorization.

10075920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41999 (or 41993 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 24.

The square root of 10075920 is about 3174.2589686413. The cubic root of 10075920 is about 215.9873106400.

The spelling of 10075920 in words is "ten million, seventy-five thousand, nine hundred twenty".