59814144 has 108 divisors (see below), whose sum is σ = 185817996. Its totient is φ = 18395136.

The previous prime is 59814137. The next prime is 59814149. The reversal of 59814144 is 44141895.

It can be written as a sum of positive squares in 2 ways, for example, as 4460544 + 55353600 = 2112^2 + 7440^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 59814099 and 59814108.

It is not an unprimeable number, because it can be changed into a prime (59814149) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28954 + ... + 30950.

It is an arithmetic number, because the mean of its divisors is an integer number (1720537).

Almost surely, 2^59814144 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 59814144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92908998).

59814144 is an abundant number, since it is smaller than the sum of its proper divisors (126003852).

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

59814144 is a wasteful number, since it uses less digits than its factorization.

59814144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2032 (or 2015 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 59814144 is about 7733.9604343441. The cubic root of 59814144 is about 391.0821228898.

The spelling of 59814144 in words is "fifty-nine million, eight hundred fourteen thousand, one hundred forty-four".