52983600 has 120 divisors (see below), whose sum is σ = 172518720. Its totient is φ = 13896960.

The previous prime is 52983583. The next prime is 52983607. The reversal of 52983600 is 638925.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (52983607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80071 + ... + 80729.

It is an arithmetic number, because the mean of its divisors is an integer number (1437656).

Almost surely, 2^52983600 is an apocalyptic number.

52983600 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 52983600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86259360).

52983600 is an abundant number, since it is smaller than the sum of its proper divisors (119535120).

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

52983600 is a wasteful number, since it uses less digits than its factorization.

52983600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 747 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 52983600 is about 7278.9834455094. The cubic root of 52983600 is about 375.5898273457.

The spelling of 52983600 in words is "fifty-two million, nine hundred eighty-three thousand, six hundred".