1292870880 has 432 divisors, whose sum is σ = 5223267504. Its totient is φ = 290304000.

The previous prime is 1292870863. The next prime is 1292870881. The reversal of 1292870880 is 880782921.

It is a happy number.

It is a super-2 number, since 2×1292870880² = 3343030224703948800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1292870881) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5150755 + ... + 5151005.

It is an arithmetic number, because the mean of its divisors is an integer number (12090897).

Almost surely, 2^1292870880 is an apocalyptic number.

1292870880 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 1292870880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2611633752).

1292870880 is an abundant number, since it is smaller than the sum of its proper divisors (3930396624).

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

1292870880 is a wasteful number, since it uses less digits than its factorization.

1292870880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The square root of 1292870880 is about 35956.5137353443. The cubic root of 1292870880 is about 1089.3941812077.

The spelling of 1292870880 in words is "one billion, two hundred ninety-two million, eight hundred seventy thousand, eight hundred eighty".