56349600 has 144 divisors (see below), whose sum is σ = 187300512. Its totient is φ = 14709760.

The previous prime is 56349593. The next prime is 56349637. The reversal of 56349600 is 694365.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126979 + ... + 127421.

It is an arithmetic number, because the mean of its divisors is an integer number (1300698).

Almost surely, 2^56349600 is an apocalyptic number.

56349600 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 56349600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93650256).

56349600 is an abundant number, since it is smaller than the sum of its proper divisors (130950912).

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

56349600 is a wasteful number, since it uses less digits than its factorization.

56349600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 56349600 is about 7506.6370632927. The cubic root of 56349600 is about 383.3807292793.

The spelling of 56349600 in words is "fifty-six million, three hundred forty-nine thousand, six hundred".