860064800 has 144 divisors (see below), whose sum is σ = 2411845632. Its totient is φ = 293376000.

The previous prime is 860064727. The next prime is 860064883. The reversal of 860064800 is 8460068.

It is a super-2 number, since 2×860064800² = 1479422920398080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2144600 + ... + 2145000.

It is an arithmetic number, because the mean of its divisors is an integer number (16748928).

Almost surely, 2^860064800 is an apocalyptic number.

860064800 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 860064800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1205922816).

860064800 is an abundant number, since it is smaller than the sum of its proper divisors (1551780832).

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

860064800 is a wasteful number, since it uses less digits than its factorization.

860064800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 860064800 is about 29326.8614072492. The cubic root of 860064800 is about 950.9924254972.

The spelling of 860064800 in words is "eight hundred sixty million, sixty-four thousand, eight hundred".