1291898160 has 400 divisors, whose sum is σ = 5401440000. Its totient is φ = 279562752.

The previous prime is 1291898159. The next prime is 1291898213. The reversal of 1291898160 is 618981921.

It is a super-2 number, since 2×1291898160² = 3338001711622771200, which contains 22 as substring.

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

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 861091 + ... + 862589.

It is an arithmetic number, because the mean of its divisors is an integer number (13503600).

Almost surely, 2^1291898160 is an apocalyptic number.

1291898160 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 1291898160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2700720000).

1291898160 is an abundant number, since it is smaller than the sum of its proper divisors (4109541840).

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

1291898160 is a wasteful number, since it uses less digits than its factorization.

1291898160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1550 (or 1535 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 45.

The square root of 1291898160 is about 35942.9848510109. The cubic root of 1291898160 is about 1089.1209027254.

The spelling of 1291898160 in words is "one billion, two hundred ninety-one million, eight hundred ninety-eight thousand, one hundred sixty".