870090816 has 112 divisors (see below), whose sum is σ = 2702251136. Its totient is φ = 241864704.

The previous prime is 870090811. The next prime is 870090817. The reversal of 870090816 is 618090078.

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

It is not an unprimeable number, because it can be changed into a prime (870090811) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40980 + ... + 58476.

Almost surely, 2^870090816 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 870090816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1351125568).

870090816 is an abundant number, since it is smaller than the sum of its proper divisors (1832160320).

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

870090816 is a wasteful number, since it uses less digits than its factorization.

870090816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17556 (or 17546 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 39.

The square root of 870090816 is about 29497.3018427110. The cubic root of 870090816 is about 954.6734868725.

The spelling of 870090816 in words is "eight hundred seventy million, ninety thousand, eight hundred sixteen".