53596800 has 144 divisors (see below), whose sum is σ = 191348430. Its totient is φ = 14284800.

The previous prime is 53596793. The next prime is 53596841. The reversal of 53596800 is 869535.

It can be written as a sum of positive squares in 3 ways, for example, as 20142144 + 33454656 = 4488^2 + 5784^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 27870 + ... + 29730.

It is a vampire number, since it can be written as 5583 ⋅ 9600 (with its own digits).

Almost surely, 2^53596800 is an apocalyptic number.

53596800 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 53596800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95674215).

53596800 is an abundant number, since it is smaller than the sum of its proper divisors (137751630).

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

53596800 is a wasteful number, since it uses less digits than its factorization.

53596800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1891 (or 1871 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 53596800 is about 7320.9835404814. The cubic root of 53596800 is about 377.0332227568.

The spelling of 53596800 in words is "fifty-three million, five hundred ninety-six thousand, eight hundred".