59268240 has 160 divisors (see below), whose sum is σ = 213200640. Its totient is φ = 15105024.

The previous prime is 59268221. The next prime is 59268241. The reversal of 59268240 is 4286295.

It is a happy number.

59268240 is a `hidden beast` number, since 592 + 68 + 2 + 4 + 0 = 666.

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 = 59268195 and 59268204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (59268241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49084 + ... + 50276.

It is an arithmetic number, because the mean of its divisors is an integer number (1332504).

Almost surely, 2^59268240 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 59268240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106600320).

59268240 is an abundant number, since it is smaller than the sum of its proper divisors (153932400).

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

59268240 is a wasteful number, since it uses less digits than its factorization.

59268240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1238 (or 1226 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 59268240 is about 7698.5868833183. The cubic root of 59268240 is about 389.8887256508. Note that the first 3 decimals are identical.

The spelling of 59268240 in words is "fifty-nine million, two hundred sixty-eight thousand, two hundred forty".