56198016 has 256 divisors, whose sum is σ = 199756800. Its totient is φ = 15206400.

The previous prime is 56197979. The next prime is 56198047. The reversal of 56198016 is 61089165.

56198016 is a `hidden beast` number, since 561 + 9 + 80 + 16 = 666.

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

It is a congruent number.

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, 556366 + ... + 556466.

It is an arithmetic number, because the mean of its divisors is an integer number (780300).

Almost surely, 2^56198016 is an apocalyptic number.

56198016 is a gapful number since it is divisible by the number (56) 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 56198016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99878400).

56198016 is an abundant number, since it is smaller than the sum of its proper divisors (143558784).

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

56198016 is a wasteful number, since it uses less digits than its factorization.

56198016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 56198016 is about 7496.5335989376. The cubic root of 56198016 is about 383.0366477304.

The spelling of 56198016 in words is "fifty-six million, one hundred ninety-eight thousand, sixteen".