53644800 has 240 divisors, whose sum is σ = 194844672. Its totient is φ = 12902400.

The previous prime is 53644793. The next prime is 53644817. The reversal of 53644800 is 844635.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 422337 + ... + 422463.

Almost surely, 2^53644800 is an apocalyptic number.

53644800 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 53644800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97422336).

53644800 is an abundant number, since it is smaller than the sum of its proper divisors (141199872).

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

53644800 is a wasteful number, since it uses less digits than its factorization.

53644800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 53644800 is about 7324.2610548778. The cubic root of 53644800 is about 377.1457431237.

The spelling of 53644800 in words is "fifty-three million, six hundred forty-four thousand, eight hundred".