1189891872 has 288 divisors, whose sum is σ = 3935131200. Its totient is φ = 337913856.

The previous prime is 1189891861. The next prime is 1189891883. The reversal of 1189891872 is 2781989811.

It is an interprime number because it is at equal distance from previous prime (1189891861) and next prime (1189891883).

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3058654 + ... + 3059042.

It is an arithmetic number, because the mean of its divisors is an integer number (13663650).

Almost surely, 2^1189891872 is an apocalyptic number.

1189891872 is a gapful number since it is divisible by the number (12) 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 1189891872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1967565600).

1189891872 is an abundant number, since it is smaller than the sum of its proper divisors (2745239328).

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

1189891872 is a wasteful number, since it uses less digits than its factorization.

1189891872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 469 counting only the distinct ones).

The product of its digits is 580608, while the sum is 54.

The square root of 1189891872 is about 34494.8093486542. The cubic root of 1189891872 is about 1059.6664050519. Note that the first 3 decimals are identical.

The spelling of 1189891872 in words is "one billion, one hundred eighty-nine million, eight hundred ninety-one thousand, eight hundred seventy-two".