292080 has 40 divisors (see below), whose sum is σ = 906192. Its totient is φ = 77824.

The previous prime is 292079. The next prime is 292081. The reversal of 292080 is 80292.

It is an interprime number because it is at equal distance from previous prime (292079) and next prime (292081).

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 292080.

It is not an unprimeable number, because it can be changed into a prime (292081) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 369 + ... + 848.

2²⁹²⁰⁸⁰ is an apocalyptic number.

292080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

292080 is an abundant number, since it is smaller than the sum of its proper divisors (614112).

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

292080 is a wasteful number, since it uses less digits than its factorization.

292080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1233 (or 1227 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 292080 is about 540.4442616959. Note that the first 3 decimals coincide. The cubic root of 292080 is about 66.3489325254.

The spelling of 292080 in words is "two hundred ninety-two thousand, eighty".