51605676 has 144 divisors (see below), whose sum is σ = 147891744. Its totient is φ = 15095808.

The previous prime is 51605663. The next prime is 51605677. The reversal of 51605676 is 67650615.

It is a happy number.

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

51605676 is a modest number, since divided by 5676 gives 5160 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 51605676.

It is not an unprimeable number, because it can be changed into a prime (51605677) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 973666 + ... + 973718.

It is an arithmetic number, because the mean of its divisors is an integer number (1027026).

Almost surely, 2^51605676 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 51605676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73945872).

51605676 is an abundant number, since it is smaller than the sum of its proper divisors (96286068).

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

51605676 is a wasteful number, since it uses less digits than its factorization.

51605676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 51605676 is about 7183.7090698329. The cubic root of 51605676 is about 372.3052472042.

The spelling of 51605676 in words is "fifty-one million, six hundred five thousand, six hundred seventy-six".