56364000 has 384 divisors, whose sum is σ = 233985024. Its totient is φ = 11520000.

The previous prime is 56363977. The next prime is 56364001. The reversal of 56364000 is 46365.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56364001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 923970 + ... + 924030.

It is an arithmetic number, because the mean of its divisors is an integer number (609336).

Almost surely, 2^56364000 is an apocalyptic number.

56364000 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 56364000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116992512).

56364000 is an abundant number, since it is smaller than the sum of its proper divisors (177621024).

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

56364000 is a wasteful number, since it uses less digits than its factorization.

56364000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 56364000 is about 7507.5961532304. The cubic root of 56364000 is about 383.4133838282.

The spelling of 56364000 in words is "fifty-six million, three hundred sixty-four thousand".