859129920 has 336 divisors, whose sum is σ = 3297984768. Its totient is φ = 203489280.

The previous prime is 859129903. The next prime is 859129961. The reversal of 859129920 is 29921958.

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1488672 + ... + 1489248.

Almost surely, 2^859129920 is an apocalyptic number.

859129920 is a gapful number since it is divisible by the number (80) 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 859129920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1648992384).

859129920 is an abundant number, since it is smaller than the sum of its proper divisors (2438854848).

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

859129920 is a wasteful number, since it uses less digits than its factorization.

859129920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The square root of 859129920 is about 29310.9181023045. The cubic root of 859129920 is about 950.6477281646.

The spelling of 859129920 in words is "eight hundred fifty-nine million, one hundred twenty-nine thousand, nine hundred twenty".