53906688 has 144 divisors (see below), whose sum is σ = 174148800. Its totient is φ = 16312320.

The previous prime is 53906681. The next prime is 53906717. The reversal of 53906688 is 88660935.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×53906688² = 5811862022258688, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53906681) 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, 75678 + ... + 76386.

Almost surely, 2^53906688 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 53906688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87074400).

53906688 is an abundant number, since it is smaller than the sum of its proper divisors (120242112).

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

53906688 is a wasteful number, since it uses less digits than its factorization.

53906688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 745 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 53906688 is about 7342.1174057625. The cubic root of 53906688 is about 377.7584750870.

The spelling of 53906688 in words is "fifty-three million, nine hundred six thousand, six hundred eighty-eight".