51089616 has 100 divisors (see below), whose sum is σ = 150040000. Its totient is φ = 16780608.

The previous prime is 51089593. The next prime is 51089617. The reversal of 51089616 is 61698015.

51089616 is a `hidden beast` number, since 510 + 89 + 61 + 6 = 666.

It is a super-2 number, since 2×51089616² = 5220297726054912, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51089617) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 102135 + ... + 102633.

It is an arithmetic number, because the mean of its divisors is an integer number (1500400).

Almost surely, 2^51089616 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 51089616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75020000).

51089616 is an abundant number, since it is smaller than the sum of its proper divisors (98950384).

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

51089616 is a wasteful number, since it uses less digits than its factorization.

51089616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 51089616 is about 7147.7000496663. The cubic root of 51089616 is about 371.0600620084.

The spelling of 51089616 in words is "fifty-one million, eighty-nine thousand, six hundred sixteen".