80649 has 16 divisors (see below), whose sum is σ = 124800. Its totient is φ = 51408.

The previous prime is 80629. The next prime is 80651. The reversal of 80649 is 94608.

It is not a de Polignac number, because 80649 - 2¹⁵ = 47881 is a prime.

It is a super-2 number, since 2×80649² = 13008522402, which contains 22 as substring.

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

80649 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (80629) 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, 732 + ... + 834.

It is an arithmetic number, because the mean of its divisors is an integer number (7800).

2⁸⁰⁶⁴⁹ is an apocalyptic number.

It is an amenable number.

80649 is a deficient number, since it is larger than the sum of its proper divisors (44151).

80649 is a wasteful number, since it uses less digits than its factorization.

80649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 80649 is about 283.9876757889. The cubic root of 80649 is about 43.2048991357.

It can be divided in two parts, 80 and 649, that added together give a 6-th power (729 = 3⁶).

The spelling of 80649 in words is "eighty thousand, six hundred forty-nine".