53737920 has 168 divisors, whose sum is σ = 189244224. Its totient is φ = 13989888.

The previous prime is 53737883. The next prime is 53737927. The reversal of 53737920 is 2973735.

It is a happy number.

53737920 is a `hidden beast` number, since 537 + 37 + 92 + 0 = 666.

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53737927) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135162 + ... + 135558.

Almost surely, 2^53737920 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 53737920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94622112).

53737920 is an abundant number, since it is smaller than the sum of its proper divisors (135506304).

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

53737920 is a wasteful number, since it uses less digits than its factorization.

53737920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 39690, while the sum is 36.

The square root of 53737920 is about 7330.6152538515. The cubic root of 53737920 is about 377.3638413682.

The spelling of 53737920 in words is "fifty-three million, seven hundred thirty-seven thousand, nine hundred twenty".