56634120 has 128 divisors (see below), whose sum is σ = 193536000. Its totient is φ = 14722560.

The previous prime is 56634103. The next prime is 56634163. The reversal of 56634120 is 2143665.

56634120 is a `hidden beast` number, since 5 + 6 + 634 + 1 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43641 + ... + 44919.

It is an arithmetic number, because the mean of its divisors is an integer number (1512000).

Almost surely, 2^56634120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56634120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96768000).

56634120 is an abundant number, since it is smaller than the sum of its proper divisors (136901880).

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

56634120 is a wasteful number, since it uses less digits than its factorization.

56634120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1340 (or 1330 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 56634120 is about 7525.5644306590. The cubic root of 56634120 is about 384.0249007290.

Adding to 56634120 its reverse (2143665), we get a palindrome (58777785).

The spelling of 56634120 in words is "fifty-six million, six hundred thirty-four thousand, one hundred twenty".