56097600 has 336 divisors, whose sum is σ = 211653120. Its totient is φ = 12902400.

The previous prime is 56097599. The next prime is 56097617. The reversal of 56097600 is 679065.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1809585 + ... + 1809615.

It is an arithmetic number, because the mean of its divisors is an integer number (629920).

Almost surely, 2^56097600 is an apocalyptic number.

56097600 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 56097600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105826560).

56097600 is an abundant number, since it is smaller than the sum of its proper divisors (155555520).

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

56097600 is a wasteful number, since it uses less digits than its factorization.

56097600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 56097600 is about 7489.8331089551. The cubic root of 56097600 is about 382.8083719394.

The spelling of 56097600 in words is "fifty-six million, ninety-seven thousand, six hundred".