51380784 has 160 divisors (see below), whose sum is σ = 181655040. Its totient is φ = 13540608.

The previous prime is 51380737. The next prime is 51380789. The reversal of 51380784 is 48708315.

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 (51380789) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38659 + ... + 39965.

It is an arithmetic number, because the mean of its divisors is an integer number (1135344).

Almost surely, 2^51380784 is an apocalyptic number.

51380784 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 51380784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90827520).

51380784 is an abundant number, since it is smaller than the sum of its proper divisors (130274256).

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

51380784 is a wasteful number, since it uses less digits than its factorization.

51380784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1344 (or 1332 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 51380784 is about 7168.0390623936. The cubic root of 51380784 is about 371.7636375723.

The spelling of 51380784 in words is "fifty-one million, three hundred eighty thousand, seven hundred eighty-four".