51945696 has 144 divisors (see below), whose sum is σ = 169827840. Its totient is φ = 14895360.

The previous prime is 51945653. The next prime is 51945701. The reversal of 51945696 is 69654915.

It is a happy number.

51945696 is a `hidden beast` number, since 519 + 45 + 6 + 96 = 666.

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

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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59761 + ... + 60623.

It is an arithmetic number, because the mean of its divisors is an integer number (1179360).

Almost surely, 2^51945696 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 51945696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84913920).

51945696 is an abundant number, since it is smaller than the sum of its proper divisors (117882144).

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

51945696 is a wasteful number, since it uses less digits than its factorization.

51945696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909 (or 898 counting only the distinct ones).

The product of its digits is 291600, while the sum is 45.

The square root of 51945696 is about 7207.3362624481. The cubic root of 51945696 is about 373.1211407562.

The spelling of 51945696 in words is "fifty-one million, nine hundred forty-five thousand, six hundred ninety-six".