806624 has 48 divisors (see below), whose sum is σ = 1961568. Its totient is φ = 317952.

The previous prime is 806609. The next prime is 806639. The reversal of 806624 is 426608.

It is an interprime number because it is at equal distance from previous prime (806609) and next prime (806639).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 806593 and 806602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2774 + ... + 3050.

It is an arithmetic number, because the mean of its divisors is an integer number (40866).

2⁸⁰⁶⁶²⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 806624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (980784).

806624 is an abundant number, since it is smaller than the sum of its proper divisors (1154944).

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

806624 is a wasteful number, since it uses less digits than its factorization.

806624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 806624 is about 898.1224860786. The cubic root of 806624 is about 93.0872884556.

The spelling of 806624 in words is "eight hundred six thousand, six hundred twenty-four".