51746688 has 320 divisors, whose sum is σ = 189573120. Its totient is φ = 13685760.

The previous prime is 51746677. The next prime is 51746689. The reversal of 51746688 is 88664715.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51746689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1669233 + ... + 1669263.

It is an arithmetic number, because the mean of its divisors is an integer number (592416).

Almost surely, 2^51746688 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 51746688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94786560).

51746688 is an abundant number, since it is smaller than the sum of its proper divisors (137826432).

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

51746688 is a wasteful number, since it uses less digits than its factorization.

51746688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 66 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 51746688 is about 7193.5170813726. The cubic root of 51746688 is about 372.6440456072.

The spelling of 51746688 in words is "fifty-one million, seven hundred forty-six thousand, six hundred eighty-eight".