51617376 has 72 divisors (see below), whose sum is σ = 154528920. Its totient is φ = 16298496.

The previous prime is 51617347. The next prime is 51617381. The reversal of 51617376 is 67371615.

51617376 is a `hidden beast` number, since 5 + 1 + 617 + 37 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a self number, because there is not a number n which added to its sum of digits gives 51617376.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 756 + ... + 10188.

It is an arithmetic number, because the mean of its divisors is an integer number (2146235).

Almost surely, 2^51617376 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 51617376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77264460).

51617376 is an abundant number, since it is smaller than the sum of its proper divisors (102911544).

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

51617376 is a wasteful number, since it uses less digits than its factorization.

51617376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9468 (or 9457 counting only the distinct ones).

The product of its digits is 26460, while the sum is 36.

The square root of 51617376 is about 7184.5233662366. The cubic root of 51617376 is about 372.3333813332. Note that the first 4 decimals are identical.

The spelling of 51617376 in words is "fifty-one million, six hundred seventeen thousand, three hundred seventy-six".