1167823360 has 160 divisors (see below), whose sum is σ = 3090016512. Its totient is φ = 419758080.

The previous prime is 1167823357. The next prime is 1167823361. The reversal of 1167823360 is 633287611.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×1167823360² = 2727622800323379200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1167823361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3181897 + ... + 3182263.

Almost surely, 2^1167823360 is an apocalyptic number.

1167823360 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 1167823360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1545008256).

1167823360 is an abundant number, since it is smaller than the sum of its proper divisors (1922193152).

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

1167823360 is a wasteful number, since it uses less digits than its factorization.

1167823360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 1167823360 is about 34173.4306150261. The cubic root of 1167823360 is about 1053.0743937914.

The spelling of 1167823360 in words is "one billion, one hundred sixty-seven million, eight hundred twenty-three thousand, three hundred sixty".