52793600 has 108 divisors (see below), whose sum is σ = 133634676. Its totient is φ = 20643840.

The previous prime is 52793599. The next prime is 52793623. The reversal of 52793600 is 639725.

It can be written as a sum of positive squares in 6 ways, for example, as 9339136 + 43454464 = 3056^2 + 6592^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 467144 + ... + 467256.

Almost surely, 2^52793600 is an apocalyptic number.

52793600 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 52793600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66817338).

52793600 is an abundant number, since it is smaller than the sum of its proper divisors (80841076).

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

52793600 is a wasteful number, since it uses less digits than its factorization.

52793600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 32.

The square root of 52793600 is about 7265.9204509821. The cubic root of 52793600 is about 375.1403326633.

The spelling of 52793600 in words is "fifty-two million, seven hundred ninety-three thousand, six hundred".