659712240 has 240 divisors, whose sum is σ = 2495840256. Its totient is φ = 154713600.

The previous prime is 659712143. The next prime is 659712293. The reversal of 659712240 is 42217956.

659712240 is a `hidden beast` number, since 6 + 597 + 1 + 22 + 40 = 666.

659712240 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 659712195 and 659712204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 244177 + ... + 246863.

Almost surely, 2^659712240 is an apocalyptic number.

659712240 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 659712240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1247920128).

659712240 is an abundant number, since it is smaller than the sum of its proper divisors (1836128016).

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

659712240 is a wasteful number, since it uses less digits than its factorization.

659712240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2748 (or 2739 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 659712240 is about 25684.8640253360. The cubic root of 659712240 is about 870.5322149819.

The spelling of 659712240 in words is "six hundred fifty-nine million, seven hundred twelve thousand, two hundred forty".