870880590 has 96 divisors (see below), whose sum is σ = 2456135136. Its totient is φ = 213227520.

The previous prime is 870880589. The next prime is 870880603. The reversal of 870880590 is 95088078.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55789 + ... + 69671.

It is an arithmetic number, because the mean of its divisors is an integer number (25584741).

Almost surely, 2^870880590 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 870880590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1228067568).

870880590 is an abundant number, since it is smaller than the sum of its proper divisors (1585254546).

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

870880590 is a wasteful number, since it uses less digits than its factorization.

870880590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13954 (or 13951 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The square root of 870880590 is about 29510.6860306568. The cubic root of 870880590 is about 954.9622491770.

It can be divided in two parts, 8708 and 80590, that added together give a palindrome (89298).

The spelling of 870880590 in words is "eight hundred seventy million, eight hundred eighty thousand, five hundred ninety".