62920 has 48 divisors (see below), whose sum is σ = 167580. Its totient is φ = 21120.

The previous prime is 62903. The next prime is 62921. The reversal of 62920 is 2926.

It can be written as a sum of positive squares in 2 ways, for example, as 58564 + 4356 = 242^2 + 66^2 .

It is a Smith number, since the sum of its digits (19) coincides with the sum of the digits of its prime factors.

It is a plaindrome in base 15.

It is a nialpdrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (62921) by changing a digit.

62920 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 11 ways as a sum of consecutive naturals, for example, 4834 + ... + 4846.

2⁶²⁹²⁰ 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 62920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83790).

62920 is an abundant number, since it is smaller than the sum of its proper divisors (104660).

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

62920 is a wasteful number, since it uses less digits than its factorization.

62920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 62920 is about 250.8385935218. The cubic root of 62920 is about 39.7737223746.

Adding to 62920 its product of nonzero digits (216), we get a palindrome (63136).

It can be divided in two parts, 6 and 2920, that added together give a triangular number (2926 = T₇₆).

The spelling of 62920 in words is "sixty-two thousand, nine hundred twenty".