62790 has 64 divisors (see below), whose sum is σ = 193536. Its totient is φ = 12672.

The previous prime is 62773. The next prime is 62791. The reversal of 62790 is 9726.

It is a self number, because there is not a number n which added to its sum of digits gives 62790.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (62791) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2719 + ... + 2741.

It is an arithmetic number, because the mean of its divisors is an integer number (3024).

2⁶²⁷⁹⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 62790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96768).

62790 is an abundant number, since it is smaller than the sum of its proper divisors (130746).

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

62790 is a wasteful number, since it uses less digits than its factorization.

62790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53.

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 62790 is about 250.5793287564. The cubic root of 62790 is about 39.7463111169.

Adding to 62790 its product of nonzero digits (756), we get a triangular number (63546 = T₃₅₆).

It can be divided in two parts, 627 and 90, that added together give a palindrome (717).

The spelling of 62790 in words is "sixty-two thousand, seven hundred ninety".