53784864 has 96 divisors (see below), whose sum is σ = 179303040. Its totient is φ = 15365376.

The previous prime is 53784847. The next prime is 53784883. The reversal of 53784864 is 46848735.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1602 + ... + 10494.

It is an arithmetic number, because the mean of its divisors is an integer number (1867740).

Almost surely, 2^53784864 is an apocalyptic number.

53784864 is a gapful number since it is divisible by the number (54) 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 53784864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89651520).

53784864 is an abundant number, since it is smaller than the sum of its proper divisors (125518176).

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

53784864 is a wasteful number, since it uses less digits than its factorization.

53784864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8919 (or 8905 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 53784864 is about 7333.8164689335. The cubic root of 53784864 is about 377.4736943499.

The spelling of 53784864 in words is "fifty-three million, seven hundred eighty-four thousand, eight hundred sixty-four".