53522784 has 144 divisors (see below), whose sum is σ = 176117760. Its totient is φ = 15102720.

The previous prime is 53522779. The next prime is 53522809. The reversal of 53522784 is 48722535.

53522784 is a `hidden beast` number, since 53 + 522 + 7 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×53522784² = 5729376814221312, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 280129 + ... + 280319.

It is an arithmetic number, because the mean of its divisors is an integer number (1223040).

Almost surely, 2^53522784 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 53522784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88058880).

53522784 is an abundant number, since it is smaller than the sum of its proper divisors (122594976).

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

53522784 is a wasteful number, since it uses less digits than its factorization.

53522784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 342 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The square root of 53522784 is about 7315.9267355544. The cubic root of 53522784 is about 376.8595846108.

The spelling of 53522784 in words is "fifty-three million, five hundred twenty-two thousand, seven hundred eighty-four".