62664 has 32 divisors (see below), whose sum is σ = 179520. Its totient is φ = 17856.

The previous prime is 62659. The next prime is 62683. The reversal of 62664 is 46626.

62664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 6² + 2¹³ + 6⁵ + 6⁶ + 4 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 62664.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19 + ... + 354.

It is an arithmetic number, because the mean of its divisors is an integer number (5610).

2⁶²⁶⁶⁴ 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 62664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89760).

62664 is an abundant number, since it is smaller than the sum of its proper divisors (116856).

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

62664 is a wasteful number, since it uses less digits than its factorization.

62664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 385 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 62664 is about 250.3277851138. The cubic root of 62664 is about 39.7197071524.

The spelling of 62664 in words is "sixty-two thousand, six hundred sixty-four".