53618592 has 96 divisors (see below), whose sum is σ = 149022720. Its totient is φ = 16853760.

The previous prime is 53618557. The next prime is 53618597. The reversal of 53618592 is 29581635.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 53618592.

It is not an unprimeable number, because it can be changed into a prime (53618597) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127759 + ... + 128177.

It is an arithmetic number, because the mean of its divisors is an integer number (1552320).

Almost surely, 2^53618592 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 53618592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74511360).

53618592 is an abundant number, since it is smaller than the sum of its proper divisors (95404128).

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

53618592 is a wasteful number, since it uses less digits than its factorization.

53618592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 498 counting only the distinct ones).

The product of its digits is 64800, while the sum is 39.

The square root of 53618592 is about 7322.4717138409. The cubic root of 53618592 is about 377.0843153263.

The spelling of 53618592 in words is "fifty-three million, six hundred eighteen thousand, five hundred ninety-two".