659312640 has 468 divisors, whose sum is σ = 2694871764. Its totient is φ = 148635648.

The previous prime is 659312639. The next prime is 659312737. The reversal of 659312640 is 46213956.

It is a happy number.

659312640 is a `hidden beast` number, since 6 + 5 + 9 + 3 + 1 + 2 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 305270784 + 354041856 = 17472^2 + 18816^2 .

It is a super-3 number, since 3×659312640³ (a number of 27 digits) contains 333 as substring.

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 = 659312595 and 659312604.

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, 9031644 + ... + 9031716.

It is an arithmetic number, because the mean of its divisors is an integer number (5758273).

Almost surely, 2^659312640 is an apocalyptic number.

659312640 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 659312640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1347435882).

659312640 is an abundant number, since it is smaller than the sum of its proper divisors (2035559124).

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

659312640 is a wasteful number, since it uses less digits than its factorization.

659312640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 659312640 is about 25677.0839465855. The cubic root of 659312640 is about 870.3564136190.

The spelling of 659312640 in words is "six hundred fifty-nine million, three hundred twelve thousand, six hundred forty".