59983840 has 96 divisors (see below), whose sum is σ = 165412800. Its totient is φ = 20547072.

The previous prime is 59983829. The next prime is 59983843. The reversal of 59983840 is 4838995.

59983840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×59983840² = 7196122122291200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (59983843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54334 + ... + 55426.

It is an arithmetic number, because the mean of its divisors is an integer number (1723050).

Almost surely, 2^59983840 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 59983840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82706400).

59983840 is an abundant number, since it is smaller than the sum of its proper divisors (105428960).

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

59983840 is a wasteful number, since it uses less digits than its factorization.

59983840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1129 (or 1107 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 46.

The square root of 59983840 is about 7744.9234986538. The cubic root of 59983840 is about 391.4516141493.

The spelling of 59983840 in words is "fifty-nine million, nine hundred eighty-three thousand, eight hundred forty".