53604824 has 96 divisors (see below), whose sum is σ = 128605680. Its totient is φ = 20756736.

The previous prime is 53604821. The next prime is 53604851. The reversal of 53604824 is 42840635.

53604824 is a modest number, since divided by 4824 gives 536 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53604821) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 341354 + ... + 341510.

Almost surely, 2^53604824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53604824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64302840).

53604824 is an abundant number, since it is smaller than the sum of its proper divisors (75000856).

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

53604824 is a wasteful number, since it uses less digits than its factorization.

53604824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 53604824 is about 7321.5315337708. The cubic root of 53604824 is about 377.0520370867.

The spelling of 53604824 in words is "fifty-three million, six hundred four thousand, eight hundred twenty-four".