80946 has 16 divisors (see below), whose sum is σ = 180000. Its totient is φ = 26964.

The previous prime is 80933. The next prime is 80953. The reversal of 80946 is 64908.

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

It is an unprimeable number.

80946 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 7 ways as a sum of consecutive naturals, for example, 696 + ... + 803.

It is an arithmetic number, because the mean of its divisors is an integer number (11250).

2⁸⁰⁹⁴⁶ is an apocalyptic number.

80946 is an abundant number, since it is smaller than the sum of its proper divisors (99054).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90000).

80946 is a wasteful number, since it uses less digits than its factorization.

80946 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1510 (or 1504 counting only the distinct ones).

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

The square root of 80946 is about 284.5101052687. The cubic root of 80946 is about 43.2578699746.

It can be divided in two parts, 8094 and 6, that added together give a square (8100 = 90²).

The spelling of 80946 in words is "eighty thousand, nine hundred forty-six".