53623168 has 64 divisors (see below), whose sum is σ = 119156400. Its totient is φ = 23887872.

The previous prime is 53623159. The next prime is 53623177. The reversal of 53623168 is 86132635.

It is an interprime number because it is at equal distance from previous prime (53623159) and next prime (53623177).

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40696 + ... + 41992.

Almost surely, 2^53623168 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 53623168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59578200).

53623168 is an abundant number, since it is smaller than the sum of its proper divisors (65533232).

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

53623168 is a wasteful number, since it uses less digits than its factorization.

53623168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1347 (or 1335 counting only the distinct ones).

The product of its digits is 25920, while the sum is 34.

The square root of 53623168 is about 7322.7841699725. The cubic root of 53623168 is about 377.0950422569.

The spelling of 53623168 in words is "fifty-three million, six hundred twenty-three thousand, one hundred sixty-eight".