1168167840 has 144 divisors (see below), whose sum is σ = 4280586912. Its totient is φ = 267004416.

The previous prime is 1168167829. The next prime is 1168167841. The reversal of 1168167840 is 487618611.

It is a super-2 number, since 2×1168167840² = 2729232204820531200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1168167792 and 1168167801.

It is not an unprimeable number, because it can be changed into a prime (1168167841) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1314 + ... + 48353.

It is an arithmetic number, because the mean of its divisors is an integer number (29726298).

Almost surely, 2^1168167840 is an apocalyptic number.

1168167840 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 1168167840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2140293456).

1168167840 is an abundant number, since it is smaller than the sum of its proper divisors (3112419072).

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

1168167840 is a wasteful number, since it uses less digits than its factorization.

1168167840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49699 (or 49684 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 42.

The square root of 1168167840 is about 34178.4704163308. The cubic root of 1168167840 is about 1053.1779275439.

The spelling of 1168167840 in words is "one billion, one hundred sixty-eight million, one hundred sixty-seven thousand, eight hundred forty".