53993088 has 128 divisors (see below), whose sum is σ = 168912000. Its totient is φ = 16920576.

The previous prime is 53993081. The next prime is 53993119. The reversal of 53993088 is 88039935.

53993088 is a `hidden beast` number, since 539 + 9 + 30 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (53993081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58293 + ... + 59211.

It is an arithmetic number, because the mean of its divisors is an integer number (1319625).

Almost surely, 2^53993088 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 53993088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84456000).

53993088 is an abundant number, since it is smaller than the sum of its proper divisors (114918912).

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

53993088 is a wasteful number, since it uses less digits than its factorization.

53993088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 959 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 53993088 is about 7347.9989112683. The cubic root of 53993088 is about 377.9601872909.

The spelling of 53993088 in words is "fifty-three million, nine hundred ninety-three thousand, eighty-eight".