59241960 has 144 divisors (see below), whose sum is σ = 199332900. Its totient is φ = 15257088.

The previous prime is 59241901. The next prime is 59241989. The reversal of 59241960 is 6914295.

59241960 is a `hidden beast` number, since 592 + 4 + 1 + 9 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 55980324 + 3261636 = 7482^2 + 1806^2 .

It is a super-4 number, since 4×59241960⁴ (a number of 32 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 665596 + ... + 665684.

Almost surely, 2^59241960 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 59241960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99666450).

59241960 is an abundant number, since it is smaller than the sum of its proper divisors (140090940).

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

59241960 is a wasteful number, since it uses less digits than its factorization.

59241960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 59241960 is about 7696.8798873310. The cubic root of 59241960 is about 389.8310905638.

The spelling of 59241960 in words is "fifty-nine million, two hundred forty-one thousand, nine hundred sixty".