659828160 has 112 divisors (see below), whose sum is σ = 2327757600. Its totient is φ = 175951872.

The previous prime is 659828153. The next prime is 659828161. The reversal of 659828160 is 61828956.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (659828161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29545 + ... + 46824.

It is an arithmetic number, because the mean of its divisors is an integer number (20783550).

Almost surely, 2^659828160 is an apocalyptic number.

659828160 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

659828160 is an abundant number, since it is smaller than the sum of its proper divisors (1667929440).

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

659828160 is a wasteful number, since it uses less digits than its factorization.

659828160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76395 (or 76379 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 659828160 is about 25687.1205081457. The cubic root of 659828160 is about 870.5831999308.

It can be divided in two parts, 65 and 9828160, that added together give a square (9828225 = 3135²).

The spelling of 659828160 in words is "six hundred fifty-nine million, eight hundred twenty-eight thousand, one hundred sixty".