59640 has 64 divisors (see below), whose sum is σ = 207360. Its totient is φ = 13440.

The previous prime is 59629. The next prime is 59651. The reversal of 59640 is 4695.

59640 = T₁ + T₂ + ... + T₇₀.

59640 is a nontrivial binomial coefficient, being equal to C(72, 3).

It is an interprime number because it is at equal distance from previous prime (59629) and next prime (59651).

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

It is a self number, because there is not a number n which added to its sum of digits gives 59640.

It is a congruent number.

It is an unprimeable number.

59640 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is the 70-th tetrahedral number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 805 + ... + 875.

It is an arithmetic number, because the mean of its divisors is an integer number (3240).

2⁵⁹⁶⁴⁰ 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 59640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103680).

59640 is an abundant number, since it is smaller than the sum of its proper divisors (147720).

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

59640 is a wasteful number, since it uses less digits than its factorization.

59640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 59640 is about 244.2130217658. The cubic root of 59640 is about 39.0702219401.

59640 divided by its sum of digits (24) gives a triangular number (2485 = T₇₀).

Subtracting from 59640 its reverse (4695), we obtain a palindrome (54945).

It can be divided in two parts, 596 and 40, that added together give a palindrome (636).

The spelling of 59640 in words is "fifty-nine thousand, six hundred forty".