53600800 has 72 divisors (see below), whose sum is σ = 142772112. Its totient is φ = 19488000.

The previous prime is 53600783. The next prime is 53600803. The reversal of 53600800 is 800635.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (53600803) 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, 5755 + ... + 11845.

It is an arithmetic number, because the mean of its divisors is an integer number (1982946).

Almost surely, 2^53600800 is an apocalyptic number.

53600800 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 53600800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71386056).

53600800 is an abundant number, since it is smaller than the sum of its proper divisors (89171312).

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

53600800 is a wasteful number, since it uses less digits than its factorization.

53600800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6122 (or 6109 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 53600800 is about 7321.2567227219. The cubic root of 53600800 is about 377.0426020194.

The spelling of 53600800 in words is "fifty-three million, six hundred thousand, eight hundred".