51832764 has 48 divisors (see below), whose sum is σ = 135475200. Its totient is φ = 17137008.

The previous prime is 51832763. The next prime is 51832801. The reversal of 51832764 is 46723815.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51832763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11827 + ... + 15605.

It is an arithmetic number, because the mean of its divisors is an integer number (2822400).

Almost surely, 2^51832764 is an apocalyptic number.

51832764 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51832764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67737600).

51832764 is an abundant number, since it is smaller than the sum of its proper divisors (83642436).

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

51832764 is a wasteful number, since it uses less digits than its factorization.

51832764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3919 (or 3911 counting only the distinct ones).

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

The square root of 51832764 is about 7199.4974824636. The cubic root of 51832764 is about 372.8505511924.

The spelling of 51832764 in words is "fifty-one million, eight hundred thirty-two thousand, seven hundred sixty-four".