53660800 has 96 divisors (see below), whose sum is σ = 136124100. Its totient is φ = 20889600.

The previous prime is 53660791. The next prime is 53660801. The reversal of 53660800 is 806635.

It can be written as a sum of positive squares in 6 ways, for example, as 17372224 + 36288576 = 4168^2 + 6024^2 .

It is not an unprimeable number, because it can be changed into a prime (53660801) 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, 130996 + ... + 131404.

Almost surely, 2^53660800 is an apocalyptic number.

53660800 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 53660800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68062050).

53660800 is an abundant number, since it is smaller than the sum of its proper divisors (82463300).

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

53660800 is a wasteful number, since it uses less digits than its factorization.

53660800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 53660800 is about 7325.3532338038. The cubic root of 53660800 is about 377.1832349965.

The spelling of 53660800 in words is "fifty-three million, six hundred sixty thousand, eight hundred".