56400120 has 96 divisors (see below), whose sum is σ = 209495520. Its totient is φ = 12890880.

The previous prime is 56400103. The next prime is 56400121. The reversal of 56400120 is 2100465.

It is a happy number.

56400120 is a `hidden beast` number, since 5 + 640 + 0 + 1 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 56400093 and 56400102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56400121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8671 + ... + 13710.

It is an arithmetic number, because the mean of its divisors is an integer number (2182245).

Almost surely, 2^56400120 is an apocalyptic number.

It is an amenable number.

56400120 is an abundant number, since it is smaller than the sum of its proper divisors (153095400).

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

56400120 is a wasteful number, since it uses less digits than its factorization.

56400120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22405 (or 22398 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 56400120 is about 7510.0013315578. The cubic root of 56400120 is about 383.4952678570.

Adding to 56400120 its reverse (2100465), we get a palindrome (58500585).

The spelling of 56400120 in words is "fifty-six million, four hundred thousand, one hundred twenty".