59842816 has 72 divisors (see below), whose sum is σ = 132451200. Its totient is φ = 26757120.

The previous prime is 59842807. The next prime is 59842817. The reversal of 59842816 is 61824895.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (59842817) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 222330 + ... + 222598.

It is an arithmetic number, because the mean of its divisors is an integer number (1839600).

Almost surely, 2^59842816 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 59842816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66225600).

59842816 is an abundant number, since it is smaller than the sum of its proper divisors (72608384).

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

59842816 is a wasteful number, since it uses less digits than its factorization.

59842816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 361 counting only the distinct ones).

The product of its digits is 138240, while the sum is 43.

The square root of 59842816 is about 7735.8138550511. The cubic root of 59842816 is about 391.1446015093.

The spelling of 59842816 in words is "fifty-nine million, eight hundred forty-two thousand, eight hundred sixteen".