1292080 has 40 divisors (see below), whose sum is σ = 3106944. Its totient is φ = 499200.

The previous prime is 1292069. The next prime is 1292089. The reversal of 1292080 is 802921.

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

It is not an unprimeable number, because it can be changed into a prime (1292089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2220 + ... + 2740.

2^1292080 is an apocalyptic number.

1292080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1292080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1553472).

1292080 is an abundant number, since it is smaller than the sum of its proper divisors (1814864).

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

1292080 is a wasteful number, since it uses less digits than its factorization.

1292080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 1292080 is about 1136.6969692930. The cubic root of 1292080 is about 108.9171999749.

It can be divided in two parts, 129 and 2080, that added together give a square (2209 = 47²).

The spelling of 1292080 in words is "one million, two hundred ninety-two thousand, eighty".