51632464 has 40 divisors (see below), whose sum is σ = 110661320. Its totient is φ = 23182848.

The previous prime is 51632459. The next prime is 51632473. The reversal of 51632464 is 46423615.

It can be written as a sum of positive squares in 4 ways, for example, as 12194064 + 39438400 = 3492^2 + 6280^2 .

It is a super-2 number, since 2×51632464² = 5331822677422592, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4342 + ... + 11050.

It is an arithmetic number, because the mean of its divisors is an integer number (2766533).

Almost surely, 2^51632464 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 51632464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55330660).

51632464 is an abundant number, since it is smaller than the sum of its proper divisors (59028856).

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

51632464 is a wasteful number, since it uses less digits than its factorization.

51632464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6767 (or 6761 counting only the distinct ones).

The product of its digits is 17280, while the sum is 31.

The square root of 51632464 is about 7185.5733243771. The cubic root of 51632464 is about 372.3696560609.

The spelling of 51632464 in words is "fifty-one million, six hundred thirty-two thousand, four hundred sixty-four".