1191896160 has 288 divisors, whose sum is σ = 4648492800. Its totient is φ = 251357184.

The previous prime is 1191896159. The next prime is 1191896161. The reversal of 1191896160 is 616981911.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1191896159) and next prime (1191896161).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1191896161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 566791 + ... + 568889.

It is an arithmetic number, because the mean of its divisors is an integer number (16140600).

Almost surely, 2^1191896160 is an apocalyptic number.

1191896160 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 1191896160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2324246400).

1191896160 is an abundant number, since it is smaller than the sum of its proper divisors (3456596640).

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

1191896160 is a wasteful number, since it uses less digits than its factorization.

1191896160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2150 (or 2129 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 42.

The square root of 1191896160 is about 34523.8491480889. The cubic root of 1191896160 is about 1060.2610487945.

The spelling of 1191896160 in words is "one billion, one hundred ninety-one million, eight hundred ninety-six thousand, one hundred sixty".