53660400 has 120 divisors (see below), whose sum is σ = 174040944. Its totient is φ = 14131200.

The previous prime is 53660377. The next prime is 53660401. The reversal of 53660400 is 406635.

53660400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53660401) by changing a digit.

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, 116170 + ... + 116630.

Almost surely, 2^53660400 is an apocalyptic number.

53660400 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 53660400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87020472).

53660400 is an abundant number, since it is smaller than the sum of its proper divisors (120380544).

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

53660400 is a wasteful number, since it uses less digits than its factorization.

53660400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 53660400 is about 7325.3259313153. The cubic root of 53660400 is about 377.1822977905.

The spelling of 53660400 in words is "fifty-three million, six hundred sixty thousand, four hundred".