861164920 has 128 divisors (see below), whose sum is σ = 2557992960. Its totient is φ = 252610560.

The previous prime is 861164917. The next prime is 861164951. The reversal of 861164920 is 29461168.

It is a happy number.

861164920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 861164920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44137 + ... + 60583.

It is an arithmetic number, because the mean of its divisors is an integer number (19984320).

Almost surely, 2^861164920 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 861164920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1278996480).

861164920 is an abundant number, since it is smaller than the sum of its proper divisors (1696828040).

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

861164920 is a wasteful number, since it uses less digits than its factorization.

861164920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16493 (or 16489 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The square root of 861164920 is about 29345.6115969662. The cubic root of 861164920 is about 951.3977283039.

The spelling of 861164920 in words is "eight hundred sixty-one million, one hundred sixty-four thousand, nine hundred twenty".