523237968 has 300 divisors, whose sum is σ = 1768791552. Its totient is φ = 148055040.

The previous prime is 523237961. The next prime is 523237969. The reversal of 523237968 is 869732325.

523237968 is a `hidden beast` number, since 523 + 2 + 37 + 96 + 8 = 666.

Its product of digits (544320) is a multiple of the sum of its prime divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (523237961) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4119921 + ... + 4120047.

Almost surely, 2^523237968 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 523237968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (884395776).

523237968 is an abundant number, since it is smaller than the sum of its proper divisors (1245553584).

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

523237968 is a wasteful number, since it uses less digits than its factorization.

523237968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 160 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 523237968 is about 22874.3954674216. The cubic root of 523237968 is about 805.8107994066.

The spelling of 523237968 in words is "five hundred twenty-three million, two hundred thirty-seven thousand, nine hundred sixty-eight".