56620800 has 162 divisors, whose sum is σ = 202638072. Its totient is φ = 15083520.

The previous prime is 56620793. The next prime is 56620807. The reversal of 56620800 is 802665.

56620800 is a `hidden beast` number, since 566 + 20 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (56620793) and next prime (56620807).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56620807) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 57109 + ... + 58091.

Almost surely, 2^56620800 is an apocalyptic number.

56620800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56620800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101319036).

56620800 is an abundant number, since it is smaller than the sum of its proper divisors (146017272).

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

56620800 is a wasteful number, since it uses less digits than its factorization.

56620800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1015 (or 993 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 56620800 is about 7524.6793951636. The cubic root of 56620800 is about 383.9947915960.

The spelling of 56620800 in words is "fifty-six million, six hundred twenty thousand, eight hundred".