64792 has 32 divisors (see below), whose sum is σ = 151200. Its totient is φ = 25344.

The previous prime is 64783. The next prime is 64793. The reversal of 64792 is 29746.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a d-powerful number, because it can be written as 6⁴ + 4⁶ + 7³ + 9⁵ + 2³ .

It is a self number, because there is not a number n which added to its sum of digits gives 64792.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64793) by changing a digit.

64792 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 684 + ... + 772.

It is an arithmetic number, because the mean of its divisors is an integer number (4725).

2⁶⁴⁷⁹² is an apocalyptic number.

64792 is the 208-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75600).

64792 is an abundant number, since it is smaller than the sum of its proper divisors (86408).

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

64792 is a wasteful number, since it uses less digits than its factorization.

64792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 111 counting only the distinct ones).

The product of its digits is 3024, while the sum is 28.

The square root of 64792 is about 254.5427272581. The cubic root of 64792 is about 40.1643240160.

The spelling of 64792 in words is "sixty-four thousand, seven hundred ninety-two".