59268840 has 64 divisors (see below), whose sum is σ = 181180800. Its totient is φ = 15505152.

The previous prime is 59268799. The next prime is 59268871. The reversal of 59268840 is 4886295.

59268840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 59268792 and 59268801.

It is an unprimeable number.

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, 1701 + ... + 11019.

It is an arithmetic number, because the mean of its divisors is an integer number (2830950).

Almost surely, 2^59268840 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 59268840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90590400).

59268840 is an abundant number, since it is smaller than the sum of its proper divisors (121911960).

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

59268840 is a wasteful number, since it uses less digits than its factorization.

59268840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9386 (or 9382 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 59268840 is about 7698.6258514101. The cubic root of 59268840 is about 389.8900413214.

The spelling of 59268840 in words is "fifty-nine million, two hundred sixty-eight thousand, eight hundred forty".