870289920 has 240 divisors, whose sum is σ = 3127924800. Its totient is φ = 231911424.

The previous prime is 870289909. The next prime is 870289933. The reversal of 870289920 is 29982078.

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 (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 621381 + ... + 622779.

It is an arithmetic number, because the mean of its divisors is an integer number (13033020).

Almost surely, 2^870289920 is an apocalyptic number.

870289920 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 870289920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1563962400).

870289920 is an abundant number, since it is smaller than the sum of its proper divisors (2257634880).

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

870289920 is an equidigital number, since it uses as much as digits as its factorization.

870289920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1437 (or 1409 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 870289920 is about 29500.6766024103. The cubic root of 870289920 is about 954.7463010392.

The spelling of 870289920 in words is "eight hundred seventy million, two hundred eighty-nine thousand, nine hundred twenty".