870485616 has 600 divisors, whose sum is σ = 3464243552. Its totient is φ = 205286400.

The previous prime is 870485597. The next prime is 870485617. The reversal of 870485616 is 616584078.

It is a happy number.

870485616 is a `hidden beast` number, since 87 + 0 + 4 + 8 + 561 + 6 = 666.

870485616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (870485617) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 14270226 + ... + 14270286.

Almost surely, 2^870485616 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 870485616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1732121776).

870485616 is an abundant number, since it is smaller than the sum of its proper divisors (2593757936).

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

870485616 is a wasteful number, since it uses less digits than its factorization.

870485616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 870485616 is about 29503.9932212574. The cubic root of 870485616 is about 954.8178580476.

The spelling of 870485616 in words is "eight hundred seventy million, four hundred eighty-five thousand, six hundred sixteen".