1162086816 has 192 divisors, whose sum is σ = 3710085120. Its totient is φ = 313896960.

The previous prime is 1162086733. The next prime is 1162086841. The reversal of 1162086816 is 6186802611.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 339385 + ... + 342791.

It is an arithmetic number, because the mean of its divisors is an integer number (19323360).

Almost surely, 2^1162086816 is an apocalyptic number.

1162086816 is a gapful number since it is divisible by the number (16) 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 1162086816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1855042560).

1162086816 is an abundant number, since it is smaller than the sum of its proper divisors (2547998304).

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

1162086816 is a wasteful number, since it uses less digits than its factorization.

1162086816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3467 (or 3459 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The square root of 1162086816 is about 34089.3944798085. The cubic root of 1162086816 is about 1051.3472701055.

The spelling of 1162086816 in words is "one billion, one hundred sixty-two million, eighty-six thousand, eight hundred sixteen".