659825040 has 160 divisors (see below), whose sum is σ = 2362348800. Its totient is φ = 149225472.

The previous prime is 659825009. The next prime is 659825041. The reversal of 659825040 is 40528956.

It is a super-2 number, since 2×659825040² = 870738166822003200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 659825040.

It is not an unprimeable number, because it can be changed into a prime (659825041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 160936 + ... + 164984.

It is an arithmetic number, because the mean of its divisors is an integer number (14764680).

Almost surely, 2^659825040 is an apocalyptic number.

659825040 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 659825040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1181174400).

659825040 is an abundant number, since it is smaller than the sum of its proper divisors (1702523760).

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

659825040 is a wasteful number, since it uses less digits than its factorization.

659825040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4169 (or 4163 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The square root of 659825040 is about 25687.0597772497. The cubic root of 659825040 is about 870.5818277433.

The spelling of 659825040 in words is "six hundred fifty-nine million, eight hundred twenty-five thousand, forty".