56854800 has 180 divisors, whose sum is σ = 209132820. Its totient is φ = 14254080.

The previous prime is 56854757. The next prime is 56854841. The reversal of 56854800 is 845865.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 5531904 + 51322896 = 2352^2 + 7164^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 60736 + ... + 61664.

It is an arithmetic number, because the mean of its divisors is an integer number (1161849).

Almost surely, 2^56854800 is an apocalyptic number.

56854800 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 56854800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104566410).

56854800 is an abundant number, since it is smaller than the sum of its proper divisors (152278020).

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

56854800 is a wasteful number, since it uses less digits than its factorization.

56854800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 970 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 56854800 is about 7540.2121986056. The cubic root of 56854800 is about 384.5230502454.

The spelling of 56854800 in words is "fifty-six million, eight hundred fifty-four thousand, eight hundred".