53308800 has 192 divisors, whose sum is σ = 195411600. Its totient is φ = 14192640.

The previous prime is 53308793. The next prime is 53308841. The reversal of 53308800 is 880335.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86092 + ... + 86708.

Almost surely, 2^53308800 is an apocalyptic number.

53308800 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 53308800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97705800).

53308800 is an abundant number, since it is smaller than the sum of its proper divisors (142102800).

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

53308800 is a wasteful number, since it uses less digits than its factorization.

53308800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 53308800 is about 7301.2875576846. The cubic root of 53308800 is about 376.3566858238.

The spelling of 53308800 in words is "fifty-three million, three hundred eight thousand, eight hundred".