51382080 has 224 divisors, whose sum is σ = 191414400. Its totient is φ = 12939264.

The previous prime is 51382057. The next prime is 51382081. The reversal of 51382080 is 8028315.

It is a happy number.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51382081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 164004 + ... + 164316.

Almost surely, 2^51382080 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 51382080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95707200).

51382080 is an abundant number, since it is smaller than the sum of its proper divisors (140032320).

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

51382080 is a wasteful number, since it uses less digits than its factorization.

51382080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 51382080 is about 7168.1294631166. The cubic root of 51382080 is about 371.7667632650.

The spelling of 51382080 in words is "fifty-one million, three hundred eighty-two thousand, eighty".