51967008 has 144 divisors (see below), whose sum is σ = 157955616. Its totient is φ = 16796160.

The previous prime is 51966997. The next prime is 51967031. The reversal of 51967008 is 80076915.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 318735 + ... + 318897.

It is an arithmetic number, because the mean of its divisors is an integer number (1096914).

Almost surely, 2^51967008 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 51967008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78977808).

51967008 is an abundant number, since it is smaller than the sum of its proper divisors (105988608).

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

51967008 is a wasteful number, since it uses less digits than its factorization.

51967008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 51967008 is about 7208.8146043576. The cubic root of 51967008 is about 373.1721611558.

The spelling of 51967008 in words is "fifty-one million, nine hundred sixty-seven thousand, eight".