51435648 has 240 divisors, whose sum is σ = 172356030. Its totient is φ = 15206400.

The previous prime is 51435577. The next prime is 51435667. The reversal of 51435648 is 84653415.

It is a happy number.

51435648 is a `hidden beast` number, since 5 + 1 + 4 + 3 + 5 + 648 = 666.

It can be written as a sum of positive squares in only one way, i.e., 50808384 + 627264 = 7128^2 + 792^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1254508 + ... + 1254548.

Almost surely, 2^51435648 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 51435648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86178015).

51435648 is an abundant number, since it is smaller than the sum of its proper divisors (120920382).

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

51435648 is a wasteful number, since it uses less digits than its factorization.

51435648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 57 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 51435648 is about 7171.8650294048. The cubic root of 51435648 is about 371.8959126059.

The spelling of 51435648 in words is "fifty-one million, four hundred thirty-five thousand, six hundred forty-eight".