51364764 has 72 divisors (see below), whose sum is σ = 142746240. Its totient is φ = 15444000.

The previous prime is 51364763. The next prime is 51364787. The reversal of 51364764 is 46746315.

It is a happy number.

51364764 is a `hidden beast` number, since 5 + 1 + 3 + 647 + 6 + 4 = 666.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51364763) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59367 + ... + 60225.

Almost surely, 2^51364764 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 51364764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71373120).

51364764 is an abundant number, since it is smaller than the sum of its proper divisors (91381476).

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

51364764 is a wasteful number, since it uses less digits than its factorization.

51364764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1031 (or 1026 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 51364764 is about 7166.9215148486. The cubic root of 51364764 is about 371.7249961965.

The spelling of 51364764 in words is "fifty-one million, three hundred sixty-four thousand, seven hundred sixty-four".