56418600 has 288 divisors, whose sum is σ = 216280800. Its totient is φ = 12096000.

The previous prime is 56418541. The next prime is 56418611. The reversal of 56418600 is 681465.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 558550 + ... + 558650.

It is an arithmetic number, because the mean of its divisors is an integer number (750975).

Almost surely, 2^56418600 is an apocalyptic number.

56418600 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 56418600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108140400).

56418600 is an abundant number, since it is smaller than the sum of its proper divisors (159862200).

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

56418600 is a wasteful number, since it uses less digits than its factorization.

56418600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 56418600 is about 7511.2315900923. The cubic root of 56418600 is about 383.5371484928.

It can be divided in two parts, 5641 and 8600, that added together give a palindrome (14241).

The spelling of 56418600 in words is "fifty-six million, four hundred eighteen thousand, six hundred".