62640 has 80 divisors (see below), whose sum is σ = 223200. Its totient is φ = 16128.

The previous prime is 62639. The next prime is 62653. The reversal of 62640 is 4626.

62640 is a `hidden beast` number, since 626 + 40 = 666.

62640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a d-powerful number, because it can be written as 6⁵ + 2¹³ + 6⁶ + 4² + 0 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2146 + ... + 2174.

It is an arithmetic number, because the mean of its divisors is an integer number (2790).

2⁶²⁶⁴⁰ is an apocalyptic number.

62640 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 62640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111600).

62640 is an abundant number, since it is smaller than the sum of its proper divisors (160560).

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

62640 is a wasteful number, since it uses less digits than its factorization.

62640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 62640 is about 250.2798433754. The cubic root of 62640 is about 39.7146356882.

It can be divided in two parts, 626 and 40, that added together give a palindrome (666).

The spelling of 62640 in words is "sixty-two thousand, six hundred forty".