59970240 has 224 divisors, whose sum is σ = 231160320. Its totient is φ = 14515200.

The previous prime is 59970233. The next prime is 59970241. The reversal of 59970240 is 4207995.

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 = 59970195 and 59970204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (59970241) 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, 94725 + ... + 95355.

Almost surely, 2^59970240 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 59970240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115580160).

59970240 is an abundant number, since it is smaller than the sum of its proper divisors (171190080).

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

59970240 is a wasteful number, since it uses less digits than its factorization.

59970240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 59970240 is about 7744.0454544121. The cubic root of 59970240 is about 391.4220276009.

It can be divided in two parts, 59 and 970240, that added together give a cube (970299 = 99³).

The spelling of 59970240 in words is "fifty-nine million, nine hundred seventy thousand, two hundred forty".