51527680 has 120 divisors (see below), whose sum is σ = 134475768. Its totient is φ = 18874368.

The previous prime is 51527657. The next prime is 51527681. The reversal of 51527680 is 8672515.

It can be written as a sum of positive squares in 4 ways, for example, as 21233664 + 30294016 = 4608^2 + 5504^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51527681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1392622 + ... + 1392658.

Almost surely, 2^51527680 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 51527680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67237884).

51527680 is an abundant number, since it is smaller than the sum of its proper divisors (82948088).

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

51527680 is an equidigital number, since it uses as much as digits as its factorization.

51527680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 34.

The square root of 51527680 is about 7178.2783451187. The cubic root of 51527680 is about 372.1175872156.

The spelling of 51527680 in words is "fifty-one million, five hundred twenty-seven thousand, six hundred eighty".