860889600 has 480 divisors, whose sum is σ = 3288003840. Its totient is φ = 220446720.

The previous prime is 860889599. The next prime is 860889641. The reversal of 860889600 is 6988068.

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

It is a super-2 number, since 2×860889600² = 1482261806776320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16243174 + ... + 16243226.

It is an arithmetic number, because the mean of its divisors is an integer number (6850008).

Almost surely, 2^860889600 is an apocalyptic number.

860889600 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 860889600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1644001920).

860889600 is an abundant number, since it is smaller than the sum of its proper divisors (2427114240).

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

860889600 is a wasteful number, since it uses less digits than its factorization.

860889600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 860889600 is about 29340.9202309675. The cubic root of 860889600 is about 951.2963281594.

The spelling of 860889600 in words is "eight hundred sixty million, eight hundred eighty-nine thousand, six hundred".