1290189600 has 864 divisors, whose sum is σ = 5770880640. Its totient is φ = 276756480.

The previous prime is 1290189581. The next prime is 1290189611. The reversal of 1290189600 is 69810921.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 24343174 + ... + 24343226.

It is an arithmetic number, because the mean of its divisors is an integer number (6679260).

Almost surely, 2^1290189600 is an apocalyptic number.

1290189600 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 1290189600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2885440320).

1290189600 is an abundant number, since it is smaller than the sum of its proper divisors (4480691040).

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

1290189600 is a wasteful number, since it uses less digits than its factorization.

1290189600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 1290189600 is about 35919.2093454185. The cubic root of 1290189600 is about 1088.6405631761.

The spelling of 1290189600 in words is "one billion, two hundred ninety million, one hundred eighty-nine thousand, six hundred".