870613920 has 480 divisors, whose sum is σ = 3477551616. Its totient is φ = 203212800.

The previous prime is 870613903. The next prime is 870613921. The reversal of 870613920 is 29316078.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is not an unprimeable number, because it can be changed into a prime (870613921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4419262 + ... + 4419458.

Almost surely, 2^870613920 is an apocalyptic number.

870613920 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 870613920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1738775808).

870613920 is an abundant number, since it is smaller than the sum of its proper divisors (2606937696).

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

870613920 is a wasteful number, since it uses less digits than its factorization.

870613920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 870613920 is about 29506.1674908823. The cubic root of 870613920 is about 954.8647670870.

Adding to 870613920 its reverse (29316078), we get a palindrome (899929998).

The spelling of 870613920 in words is "eight hundred seventy million, six hundred thirteen thousand, nine hundred twenty".