80652 has 48 divisors (see below), whose sum is σ = 225792. Its totient is φ = 22080.

The previous prime is 80651. The next prime is 80657. The reversal of 80652 is 25608.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (80651) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1693 + ... + 1739.

It is an arithmetic number, because the mean of its divisors is an integer number (4704).

2⁸⁰⁶⁵² 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 80652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112896).

80652 is an abundant number, since it is smaller than the sum of its proper divisors (145140).

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

80652 is a wasteful number, since it uses less digits than its factorization.

80652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 80652 is about 283.9929576592. The cubic root of 80652 is about 43.2054348444.

It can be divided in two parts, 806 and 52, that added together give a palindrome (858).

The spelling of 80652 in words is "eighty thousand, six hundred fifty-two".