53761824 has 144 divisors (see below), whose sum is σ = 163046520. Its totient is φ = 16773120.

The previous prime is 53761817. The next prime is 53761847. The reversal of 53761824 is 42816735.

53761824 is a `hidden beast` number, since 5 + 37 + 618 + 2 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 27751824 + 26010000 = 5268^2 + 5100^2 .

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

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 342354 + ... + 342510.

Almost surely, 2^53761824 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 53761824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81523260).

53761824 is an abundant number, since it is smaller than the sum of its proper divisors (109284696).

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

53761824 is a wasteful number, since it uses less digits than its factorization.

53761824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 232 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 53761824 is about 7332.2454950718. The cubic root of 53761824 is about 377.4197867668.

The spelling of 53761824 in words is "fifty-three million, seven hundred sixty-one thousand, eight hundred twenty-four".