53964288 has 180 divisors, whose sum is σ = 181930320. Its totient is φ = 15353856.

The previous prime is 53964277. The next prime is 53964289. The reversal of 53964288 is 88246935.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53964289) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 225673 + ... + 225911.

It is an arithmetic number, because the mean of its divisors is an integer number (1010724).

Almost surely, 2^53964288 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 53964288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90965160).

53964288 is an abundant number, since it is smaller than the sum of its proper divisors (127966032).

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

53964288 is a wasteful number, since it uses less digits than its factorization.

53964288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 251 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 53964288 is about 7346.0389326493. The cubic root of 53964288 is about 377.8929738149.

The spelling of 53964288 in words is "fifty-three million, nine hundred sixty-four thousand, two hundred eighty-eight".