1292580080 has 120 divisors (see below), whose sum is σ = 3354274896. Its totient is φ = 462781440.

The previous prime is 1292580073. The next prime is 1292580103. The reversal of 1292580080 is 800852921.

It is a self number, because there is not a number n which added to its sum of digits gives 1292580080.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 647564 + ... + 649556.

Almost surely, 2^1292580080 is an apocalyptic number.

1292580080 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 1292580080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1677137448).

1292580080 is an abundant number, since it is smaller than the sum of its proper divisors (2061694816).

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

1292580080 is a wasteful number, since it uses less digits than its factorization.

1292580080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2095 (or 2078 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 35.

The square root of 1292580080 is about 35952.4697343590. The cubic root of 1292580080 is about 1089.3124974687.

The spelling of 1292580080 in words is "one billion, two hundred ninety-two million, five hundred eighty thousand, eighty".