870464 has 56 divisors (see below), whose sum is σ = 2072640. Its totient is φ = 354816.

The previous prime is 870461. The next prime is 870479. The reversal of 870464 is 464078.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (870461) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12959 + ... + 13025.

2⁸⁷⁰⁴⁶⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 870464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1036320).

870464 is an abundant number, since it is smaller than the sum of its proper divisors (1202176).

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

870464 is a wasteful number, since it uses less digits than its factorization.

870464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 870464 is about 932.9866022618. The cubic root of 870464 is about 95.4809954600.

The spelling of 870464 in words is "eight hundred seventy thousand, four hundred sixty-four".