53758224 has 135 divisors (see below), whose sum is σ = 166451493. Its totient is φ = 16189056.

The previous prime is 53758219. The next prime is 53758231. The reversal of 53758224 is 42285735.

The square root of 53758224 is 7332.

It is a perfect power (a square), and thus also a powerful number.

53758224 is a `hidden beast` number, since 53 + 7 + 582 + 24 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7952400 + 45805824 = 2820^2 + 6768^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1143769 + ... + 1143815.

Almost surely, 2^53758224 is an apocalyptic number.

53758224 is the 7332-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53758224

53758224 is an abundant number, since it is smaller than the sum of its proper divisors (112693269).

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

53758224 is a wasteful number, since it uses less digits than its factorization.

53758224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 65 counting only the distinct ones).

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

The cubic root of 53758224 is about 377.4113623158.

Multiplying 53758224 by its sum of digits (36), we get a square (1935296064 = 43992²).

53758224 divided by its sum of digits (36) gives a square (1493284 = 1222²).

The spelling of 53758224 in words is "fifty-three million, seven hundred fifty-eight thousand, two hundred twenty-four".