56629620 has 72 divisors (see below), whose sum is σ = 172756584. Its totient is φ = 15015168.

The previous prime is 56629609. The next prime is 56629627. The reversal of 56629620 is 2692665.

56629620 is a `hidden beast` number, since 5 + 6 + 6 + 29 + 620 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12194064 + 44435556 = 3492^2 + 6666^2 .

It is a super-2 number, since 2×56629620² = 6413827722688800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56629627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34662 + ... + 36258.

It is an arithmetic number, because the mean of its divisors is an integer number (2399397).

Almost surely, 2^56629620 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 56629620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86378292).

56629620 is an abundant number, since it is smaller than the sum of its proper divisors (116126964).

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

56629620 is a wasteful number, since it uses less digits than its factorization.

56629620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1809 (or 1804 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 56629620 is about 7525.2654438232. The cubic root of 56629620 is about 384.0147292527.

The spelling of 56629620 in words is "fifty-six million, six hundred twenty-nine thousand, six hundred twenty".