51384320 has 104 divisors (see below), whose sum is σ = 133480536. Its totient is φ = 18874368.

The previous prime is 51384299. The next prime is 51384337. The reversal of 51384320 is 2348315.

It can be written as a sum of positive squares in 4 ways, for example, as 4096 + 51380224 = 64^2 + 7168^2 .

It is a tau number, because it is divible by the number of its divisors (104).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 51384320.

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, 266144 + ... + 266336.

Almost surely, 2^51384320 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 51384320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66740268).

51384320 is an abundant number, since it is smaller than the sum of its proper divisors (82096216).

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

51384320 is a wasteful number, since it uses less digits than its factorization.

51384320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 51384320 is about 7168.2857085917. The cubic root of 51384320 is about 371.7721655729.

The spelling of 51384320 in words is "fifty-one million, three hundred eighty-four thousand, three hundred twenty".