52644600 has 96 divisors (see below), whose sum is σ = 181350000. Its totient is φ = 14037120.

The previous prime is 52644593. The next prime is 52644617. The reversal of 52644600 is 644625.

It is a happy number.

52644600 is a `hidden beast` number, since 52 + 6 + 4 + 4 + 600 = 666.

52644600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 526 + ... + 10274.

Almost surely, 2^52644600 is an apocalyptic number.

52644600 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 52644600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90675000).

52644600 is an abundant number, since it is smaller than the sum of its proper divisors (128705400).

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

52644600 is a wasteful number, since it uses less digits than its factorization.

52644600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9774 (or 9759 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 52644600 is about 7255.6598597233. The cubic root of 52644600 is about 374.7870791288.

The spelling of 52644600 in words is "fifty-two million, six hundred forty-four thousand, six hundred".