860006400 has 288 divisors, whose sum is σ = 3107613600. Its totient is φ = 208076800.

The previous prime is 860006369. The next prime is 860006417. The reversal of 860006400 is 4600068.

It is a super-2 number, since 2×860006400² = 1479222016081920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1689346 + ... + 1689854.

It is an arithmetic number, because the mean of its divisors is an integer number (10790325).

Almost surely, 2^860006400 is an apocalyptic number.

860006400 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 860006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1553806800).

860006400 is an abundant number, since it is smaller than the sum of its proper divisors (2247607200).

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

860006400 is a wasteful number, since it uses less digits than its factorization.

860006400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 860006400 is about 29325.8657161217. The cubic root of 860006400 is about 950.9709002917.

Adding to 860006400 its reverse (4600068), we get a palindrome (864606468).

The spelling of 860006400 in words is "eight hundred sixty million, six thousand, four hundred".