52864000 has 176 divisors, whose sum is σ = 153279360. Its totient is φ = 17817600.

The previous prime is 52863991. The next prime is 52864001. The reversal of 52864000 is 46825.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (52864001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 895971 + ... + 896029.

Almost surely, 2^52864000 is an apocalyptic number.

52864000 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 52864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76639680).

52864000 is an abundant number, since it is smaller than the sum of its proper divisors (100415360).

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

52864000 is an equidigital number, since it uses as much as digits as its factorization.

52864000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 52864000 is about 7270.7633712011. The cubic root of 52864000 is about 375.3070078472.

The spelling of 52864000 in words is "fifty-two million, eight hundred sixty-four thousand".