53168640 has 320 divisors, whose sum is σ = 207415296. Its totient is φ = 11354112.

The previous prime is 53168623. The next prime is 53168653. The reversal of 53168640 is 4686135.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1236459 + ... + 1236501.

Almost surely, 2^53168640 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 53168640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103707648).

53168640 is an abundant number, since it is smaller than the sum of its proper divisors (154246656).

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

53168640 is a wasteful number, since it uses less digits than its factorization.

53168640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 53168640 is about 7291.6829333152. The cubic root of 53168640 is about 376.0265561446.

The spelling of 53168640 in words is "fifty-three million, one hundred sixty-eight thousand, six hundred forty".