53604600 has 96 divisors (see below), whose sum is σ = 189928320. Its totient is φ = 12251520.

The previous prime is 53604563. The next prime is 53604631. The reversal of 53604600 is 640635.

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

It is a zygodrome in base 2.

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, 2182 + ... + 10581.

It is an arithmetic number, because the mean of its divisors is an integer number (1978420).

Almost surely, 2^53604600 is an apocalyptic number.

53604600 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 53604600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94964160).

53604600 is an abundant number, since it is smaller than the sum of its proper divisors (136323720).

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

53604600 is a wasteful number, since it uses less digits than its factorization.

53604600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12789 (or 12780 counting only the distinct ones).

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

The square root of 53604600 is about 7321.5162364090. The cubic root of 53604600 is about 377.0515118866.

The spelling of 53604600 in words is "fifty-three million, six hundred four thousand, six hundred".