52906600 has 48 divisors (see below), whose sum is σ = 124149420. Its totient is φ = 20966400.

The previous prime is 52906589. The next prime is 52906603. The reversal of 52906600 is 660925.

It can be written as a sum of positive squares in 6 ways, for example, as 7828804 + 45077796 = 2798^2 + 6714^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52906603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21430 + ... + 23770.

Almost surely, 2^52906600 is an apocalyptic number.

52906600 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 52906600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62074710).

52906600 is an abundant number, since it is smaller than the sum of its proper divisors (71242820).

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

52906600 is a wasteful number, since it uses less digits than its factorization.

52906600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2470 (or 2461 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 28.

The square root of 52906600 is about 7273.6923223353. The cubic root of 52906600 is about 375.4077934217.

The spelling of 52906600 in words is "fifty-two million, nine hundred six thousand, six hundred".