59040 has 72 divisors (see below), whose sum is σ = 206388. Its totient is φ = 15360.

The previous prime is 59029. The next prime is 59051. The reversal of 59040 is 4095.

It is an interprime number because it is at equal distance from previous prime (59029) and next prime (59051).

It can be written as a sum of positive squares in 2 ways, for example, as 51984 + 7056 = 228^2 + 84^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an Ulam number.

It is a nialpdrome in base 3 and base 9.

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

59040 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1420 + ... + 1460.

2⁵⁹⁰⁴⁰ 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 59040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103194).

59040 is an abundant number, since it is smaller than the sum of its proper divisors (147348).

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

59040 is a wasteful number, since it uses less digits than its factorization.

59040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 59040 is about 242.9814807758. The cubic root of 59040 is about 38.9387599033.

Subtracting from 59040 its reverse (4095), we obtain a palindrome (54945).

It can be divided in two parts, 590 and 40, that added together give a triangular number (630 = T₃₅).

The spelling of 59040 in words is "fifty-nine thousand, forty".