56532000 has 192 divisors, whose sum is σ = 211970304. Its totient is φ = 12902400.

The previous prime is 56531983. The next prime is 56532013. The reversal of 56532000 is 23565.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 83664 + ... + 84336.

It is an arithmetic number, because the mean of its divisors is an integer number (1104012).

Almost surely, 2^56532000 is an apocalyptic number.

56532000 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 56532000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105985152).

56532000 is an abundant number, since it is smaller than the sum of its proper divisors (155438304).

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

56532000 is a wasteful number, since it uses less digits than its factorization.

56532000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 56532000 is about 7518.7764962127. The cubic root of 56532000 is about 383.7939432679.

Adding to 56532000 its reverse (23565), we get a palindrome (56555565).

The spelling of 56532000 in words is "fifty-six million, five hundred thirty-two thousand".