870296000 has 112 divisors (see below), whose sum is σ = 2463344832. Its totient is φ = 298368000.

The previous prime is 870295991. The next prime is 870296017. The reversal of 870296000 is 692078.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48230 + ... + 63770.

Almost surely, 2^870296000 is an apocalyptic number.

870296000 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 870296000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1231672416).

870296000 is an abundant number, since it is smaller than the sum of its proper divisors (1593048832).

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

870296000 is a wasteful number, since it uses less digits than its factorization.

870296000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15575 (or 15555 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 870296000 is about 29500.7796507143. The cubic root of 870296000 is about 954.7485243765.

The spelling of 870296000 in words is "eight hundred seventy million, two hundred ninety-six thousand".