53307936 has 192 divisors, whose sum is σ = 174182400. Its totient is φ = 15724800.

The previous prime is 53307931. The next prime is 53307953. The reversal of 53307936 is 63970335.

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

It is a self number, because there is not a number n which added to its sum of digits gives 53307936.

It is not an unprimeable number, because it can be changed into a prime (53307931) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 674745 + ... + 674823.

It is an arithmetic number, because the mean of its divisors is an integer number (907200).

Almost surely, 2^53307936 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 53307936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87091200).

53307936 is an abundant number, since it is smaller than the sum of its proper divisors (120874464).

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

53307936 is a wasteful number, since it uses less digits than its factorization.

53307936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 51030, while the sum is 36.

The square root of 53307936 is about 7301.2283897985. The cubic root of 53307936 is about 376.3546525514.

The spelling of 53307936 in words is "fifty-three million, three hundred seven thousand, nine hundred thirty-six".