59145240 has 256 divisors, whose sum is σ = 228510720. Its totient is φ = 11888640.

The previous prime is 59145211. The next prime is 59145263. The reversal of 59145240 is 4254195.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 59145198 and 59145207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 341794 + ... + 341966.

It is an arithmetic number, because the mean of its divisors is an integer number (892620).

Almost surely, 2^59145240 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 59145240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114255360).

59145240 is an abundant number, since it is smaller than the sum of its proper divisors (169365480).

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

59145240 is a wasteful number, since it uses less digits than its factorization.

59145240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 59145240 is about 7690.5942553225. The cubic root of 59145240 is about 389.6188254687.

The spelling of 59145240 in words is "fifty-nine million, one hundred forty-five thousand, two hundred forty".