1292087160 has 256 divisors, whose sum is σ = 5301273600. Its totient is φ = 272595456.

The previous prime is 1292087129. The next prime is 1292087213. The reversal of 1292087160 is 617802921.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 91707 + ... + 104853.

It is an arithmetic number, because the mean of its divisors is an integer number (20708100).

Almost surely, 2^1292087160 is an apocalyptic number.

1292087160 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 1292087160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2650636800).

1292087160 is an abundant number, since it is smaller than the sum of its proper divisors (4009186440).

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

1292087160 is a wasteful number, since it uses less digits than its factorization.

1292087160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13187 (or 13177 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 1292087160 is about 35945.6139188080. The cubic root of 1292087160 is about 1089.1740116106.

The spelling of 1292087160 in words is "one billion, two hundred ninety-two million, eighty-seven thousand, one hundred sixty".