10401920 has 32 divisors (see below), whose sum is σ = 24868620. Its totient is φ = 4160512.

The previous prime is 10401917. The next prime is 10401931. The reversal of 10401920 is 2910401.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 10394176 + 7744 = 3224^2 + 88^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7487 + ... + 8766.

Almost surely, 2^10401920 is an apocalyptic number.

10401920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10401920 is an abundant number, since it is smaller than the sum of its proper divisors (14466700).

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

10401920 is an equidigital number, since it uses as much as digits as its factorization.

10401920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16272 (or 16260 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 10401920 is about 3225.2007689445. The cubic root of 10401920 is about 218.2920083135.

The spelling of 10401920 in words is "ten million, four hundred one thousand, nine hundred twenty".