51487632 has 90 divisors (see below), whose sum is σ = 167642358. Its totient is φ = 14708736.

The previous prime is 51487627. The next prime is 51487649. The reversal of 51487632 is 23678415.

51487632 is a `hidden beast` number, since 5 + 14 + 8 + 7 + 632 = 666.

It can be written as a sum of positive squares in only one way, i.e., 40755456 + 10732176 = 6384^2 + 3276^2 .

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 17 ways as a sum of consecutive naturals, for example, 3408 + ... + 10704.

Almost surely, 2^51487632 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 51487632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83821179).

51487632 is an abundant number, since it is smaller than the sum of its proper divisors (116154726).

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

51487632 is a wasteful number, since it uses less digits than its factorization.

51487632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7325 (or 7309 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 51487632 is about 7175.4882760687. The cubic root of 51487632 is about 372.0211573121.

The spelling of 51487632 in words is "fifty-one million, four hundred eighty-seven thousand, six hundred thirty-two".