806652 has 96 divisors (see below), whose sum is σ = 2634240. Its totient is φ = 207360.

The previous prime is 806639. The next prime is 806657. The reversal of 806652 is 256608.

806652 is a `hidden beast` number, since 8 + 0 + 6 + 652 = 666.

806652 is nontrivially palindromic in base 5.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (806657) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8268 + ... + 8364.

It is an arithmetic number, because the mean of its divisors is an integer number (27440).

2⁸⁰⁶⁶⁵² 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 806652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1317120).

806652 is an abundant number, since it is smaller than the sum of its proper divisors (1827588).

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

806652 is a wasteful number, since it uses less digits than its factorization.

806652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 806652 is about 898.1380740176. The cubic root of 806652 is about 93.0883655431.

It can be divided in two parts, 8066 and 52, that added together give a palindrome (8118).

The spelling of 806652 in words is "eight hundred six thousand, six hundred fifty-two".