1195728160 has 96 divisors (see below), whose sum is σ = 3093152832. Its totient is φ = 433198080.

The previous prime is 1195728139. The next prime is 1195728169. The reversal of 1195728160 is 618275911.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (1195728169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 539214 + ... + 541426.

It is an arithmetic number, because the mean of its divisors is an integer number (32220342).

Almost surely, 2^1195728160 is an apocalyptic number.

1195728160 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 1195728160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1546576416).

1195728160 is an abundant number, since it is smaller than the sum of its proper divisors (1897424672).

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

1195728160 is a wasteful number, since it uses less digits than its factorization.

1195728160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2546 (or 2538 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 40.

The square root of 1195728160 is about 34579.3024799518. The cubic root of 1195728160 is about 1061.3960956434.

The spelling of 1195728160 in words is "one billion, one hundred ninety-five million, seven hundred twenty-eight thousand, one hundred sixty".