51907968 has 192 divisors, whose sum is σ = 175986720. Its totient is φ = 14376960.

The previous prime is 51907967. The next prime is 51907969. The reversal of 51907968 is 86970915.

51907968 is a `hidden beast` number, since 519 + 0 + 79 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (51907967) and next prime (51907969).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51907963) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 330546 + ... + 330702.

Almost surely, 2^51907968 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 51907968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87993360).

51907968 is an abundant number, since it is smaller than the sum of its proper divisors (124078752).

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

51907968 is a wasteful number, since it uses less digits than its factorization.

51907968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The square root of 51907968 is about 7204.7184539023. The cubic root of 51907968 is about 373.0307866305.

The spelling of 51907968 in words is "fifty-one million, nine hundred seven thousand, nine hundred sixty-eight".