870417360 has 320 divisors, whose sum is σ = 3199795200. Its totient is φ = 216857088.

The previous prime is 870417347. The next prime is 870417367. The reversal of 870417360 is 63714078.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (870417367) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5211997 + ... + 5212163.

It is an arithmetic number, because the mean of its divisors is an integer number (9999360).

Almost surely, 2^870417360 is an apocalyptic number.

870417360 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 870417360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1599897600).

870417360 is an abundant number, since it is smaller than the sum of its proper divisors (2329377840).

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

870417360 is a wasteful number, since it uses less digits than its factorization.

870417360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 870417360 is about 29502.8364738037. The cubic root of 870417360 is about 954.7929011921.

The spelling of 870417360 in words is "eight hundred seventy million, four hundred seventeen thousand, three hundred sixty".