52881600 has 168 divisors, whose sum is σ = 181416960. Its totient is φ = 13460480.

The previous prime is 52881599. The next prime is 52881607. The reversal of 52881600 is 618825.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52881607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110161 + ... + 110639.

Almost surely, 2^52881600 is an apocalyptic number.

52881600 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 52881600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90708480).

52881600 is an abundant number, since it is smaller than the sum of its proper divisors (128535360).

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

52881600 is a wasteful number, since it uses less digits than its factorization.

52881600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 52881600 is about 7271.9735973118. The cubic root of 52881600 is about 375.3486535192.

It can be divided in two parts, 528 and 81600, that added together give a palindrome (82128).

The spelling of 52881600 in words is "fifty-two million, eight hundred eighty-one thousand, six hundred".