51762320 has 40 divisors (see below), whose sum is σ = 121492224. Its totient is φ = 20508032.

The previous prime is 51762317. The next prime is 51762353. The reversal of 51762320 is 2326715.

51762320 = 3² + 4² + ... + 537².

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 51762320.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5537 + ... + 11583.

Almost surely, 2^51762320 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 51762320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60746112).

51762320 is an abundant number, since it is smaller than the sum of its proper divisors (69729904).

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

51762320 is a wasteful number, since it uses less digits than its factorization.

51762320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6167 (or 6161 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 51762320 is about 7194.6035332046. The cubic root of 51762320 is about 372.6815654658.

The spelling of 51762320 in words is "fifty-one million, seven hundred sixty-two thousand, three hundred twenty".