65790 has 48 divisors (see below), whose sum is σ = 185328. Its totient is φ = 16128.

The previous prime is 65789. The next prime is 65809. The reversal of 65790 is 9756.

65790 is a `hidden beast` number, since 657 + 9 + 0 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1509 + ... + 1551.

It is an arithmetic number, because the mean of its divisors is an integer number (3861).

2⁶⁵⁷⁹⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92664).

65790 is an abundant number, since it is smaller than the sum of its proper divisors (119538).

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

65790 is a wasteful number, since it uses less digits than its factorization.

65790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 65790 is about 256.4956139976. The cubic root of 65790 is about 40.3694930298.

It can be divided in two parts, 657 and 90, that added together give a palindrome (747).

The spelling of 65790 in words is "sixty-five thousand, seven hundred ninety".