53006688 has 72 divisors (see below), whose sum is σ = 172278288. Its totient is φ = 15144192.

The previous prime is 53006669. The next prime is 53006689. The reversal of 53006688 is 88660035.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53006689) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11131 + ... + 15162.

It is an arithmetic number, because the mean of its divisors is an integer number (2392754).

Almost surely, 2^53006688 is an apocalyptic number.

It is an amenable number.

53006688 is an abundant number, since it is smaller than the sum of its proper divisors (119271600).

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

53006688 is a wasteful number, since it uses less digits than its factorization.

53006688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26316 (or 26305 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 53006688 is about 7280.5692085166. The cubic root of 53006688 is about 375.6443747822.

The spelling of 53006688 in words is "fifty-three million, six thousand, six hundred eighty-eight".