870013440 has 320 divisors, whose sum is σ = 3176046720. Its totient is φ = 225607680.

The previous prime is 870013423. The next prime is 870013451. The reversal of 870013440 is 44310078.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2833767 + ... + 2834073.

It is an arithmetic number, because the mean of its divisors is an integer number (9925146).

Almost surely, 2^870013440 is an apocalyptic number.

870013440 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 870013440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1588023360).

870013440 is an abundant number, since it is smaller than the sum of its proper divisors (2306033280).

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

870013440 is a wasteful number, since it uses less digits than its factorization.

870013440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 870013440 is about 29495.9902359626. The cubic root of 870013440 is about 954.6451867594.

The spelling of 870013440 in words is "eight hundred seventy million, thirteen thousand, four hundred forty".