53764920 has 96 divisors (see below), whose sum is σ = 190635120. Its totient is φ = 13032960.

The previous prime is 53764913. The next prime is 53764933. The reversal of 53764920 is 2946735.

53764920 is a `hidden beast` number, since 5 + 3 + 7 + 649 + 2 + 0 = 666.

It is a super-3 number, since 3×53764920³ (a number of 24 digits) contains 333 as substring.

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, 2829 + ... + 10748.

Almost surely, 2^53764920 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 53764920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95317560).

53764920 is an abundant number, since it is smaller than the sum of its proper divisors (136870200).

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

53764920 is a wasteful number, since it uses less digits than its factorization.

53764920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13605 (or 13598 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 53764920 is about 7332.4566142596. The cubic root of 53764920 is about 377.4270314939.

It can be divided in two parts, 5376 and 4920, that added together give a triangular number (10296 = T₁₄₃).

The spelling of 53764920 in words is "fifty-three million, seven hundred sixty-four thousand, nine hundred twenty".