1115167872 has 384 divisors, whose sum is σ = 3828867840. Its totient is φ = 284884992.

The previous prime is 1115167849. The next prime is 1115167873. The reversal of 1115167872 is 2787615111.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 1115167872.

It is not an unprimeable number, because it can be changed into a prime (1115167873) 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, 11496528 + ... + 11496624.

It is an arithmetic number, because the mean of its divisors is an integer number (9971010).

Almost surely, 2^1115167872 is an apocalyptic number.

1115167872 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 1115167872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1914433920).

1115167872 is an abundant number, since it is smaller than the sum of its proper divisors (2713699968).

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

1115167872 is a wasteful number, since it uses less digits than its factorization.

1115167872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 169 counting only the distinct ones).

The product of its digits is 23520, while the sum is 39.

The square root of 1115167872 is about 33394.1293044152. The cubic root of 1115167872 is about 1037.0031675852.

The spelling of 1115167872 in words is "one billion, one hundred fifteen million, one hundred sixty-seven thousand, eight hundred seventy-two".