855624 has 64 divisors (see below), whose sum is σ = 2672640. Its totient is φ = 221760.

The previous prime is 855619. The next prime is 855641. The reversal of 855624 is 426558.

It is a Cunningham number, because it is equal to 925²-1.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 855591 and 855600.

It is an unprimeable number.

855624 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1617 + ... + 2079.

It is an arithmetic number, because the mean of its divisors is an integer number (41760).

2⁸⁵⁵⁶²⁴ is an apocalyptic number.

855624 is a gapful number since it is divisible by the number (84) 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 855624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1336320).

855624 is an abundant number, since it is smaller than the sum of its proper divisors (1817016).

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

855624 is a wasteful number, since it uses less digits than its factorization.

855624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 486 counting only the distinct ones).

The product of its digits is 9600, while the sum is 30.

The square root of 855624 is about 924.9994594593. Note that the first 3 decimals coincide. The cubic root of 855624 is about 94.9352837169.

The spelling of 855624 in words is "eight hundred fifty-five thousand, six hundred twenty-four".