56319300 has 180 divisors, whose sum is σ = 193776660. Its totient is φ = 14100480.

The previous prime is 56319299. The next prime is 56319331. The reversal of 56319300 is 391365.

It can be written as a sum of positive squares in 6 ways, for example, as 3437316 + 52881984 = 1854^2 + 7272^2 .

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 (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 137496 + ... + 137904.

It is an arithmetic number, because the mean of its divisors is an integer number (1076537).

Almost surely, 2^56319300 is an apocalyptic number.

56319300 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 56319300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96888330).

56319300 is an abundant number, since it is smaller than the sum of its proper divisors (137457360).

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

56319300 is a wasteful number, since it uses less digits than its factorization.

56319300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The square root of 56319300 is about 7504.6185779159. The cubic root of 56319300 is about 383.3120004931.

The spelling of 56319300 in words is "fifty-six million, three hundred nineteen thousand, three hundred".