64242756 has 36 divisors (see below), whose sum is σ = 162817200. Its totient is φ = 21358128.

The previous prime is 64242751. The next prime is 64242791. The reversal of 64242756 is 65724246.

64242756 is a `hidden beast` number, since 642 + 4 + 2 + 7 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 64242756.

It is not an unprimeable number, because it can be changed into a prime (64242751) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12955 + ... + 17213.

It is an arithmetic number, because the mean of its divisors is an integer number (4522700).

Almost surely, 2^64242756 is an apocalyptic number.

It is an amenable number.

64242756 is an abundant number, since it is smaller than the sum of its proper divisors (98574444).

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

64242756 is a wasteful number, since it uses less digits than its factorization.

With its successor (64242757) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (4683).

64242756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4688 (or 4683 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 64242756 is about 8015.1578898984. The cubic root of 64242756 is about 400.5051035741.

It can be divided in two parts, 6424 and 2756, that added together give a triangular number (9180 = T₁₃₅).

The spelling of 64242756 in words is "sixty-four million, two hundred forty-two thousand, seven hundred fifty-six".