53003968 has 56 divisors (see below), whose sum is σ = 109435392. Its totient is φ = 25453824.

The previous prime is 53003959. The next prime is 53003971. The reversal of 53003968 is 86930035.

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, 201405 + ... + 201667.

Almost surely, 2^53003968 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 53003968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54717696).

53003968 is an abundant number, since it is smaller than the sum of its proper divisors (56431424).

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

53003968 is a wasteful number, since it uses less digits than its factorization.

53003968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 34.

The square root of 53003968 is about 7280.3824075388. The cubic root of 53003968 is about 375.6379493655.

The spelling of 53003968 in words is "fifty-three million, three thousand, nine hundred sixty-eight".