860400 has 90 divisors (see below), whose sum is σ = 2998320. Its totient is φ = 228480.

The previous prime is 860399. The next prime is 860413. The reversal of 860400 is 4068.

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 860400.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3481 + ... + 3719.

2⁸⁶⁰⁴⁰⁰ is an apocalyptic number.

860400 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 860400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1499160).

860400 is an abundant number, since it is smaller than the sum of its proper divisors (2137920).

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

860400 is a wasteful number, since it uses less digits than its factorization.

860400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 860400 is about 927.5774900244. The cubic root of 860400 is about 95.1115955436. Note that the first 3 decimals are identical.

Adding to 860400 its reverse (4068), we get a palindrome (864468).

The spelling of 860400 in words is "eight hundred sixty thousand, four hundred".