1167687360 has 448 divisors, whose sum is σ = 4828032000. Its totient is φ = 260112384.

The previous prime is 1167687307. The next prime is 1167687383. The reversal of 1167687360 is 637867611.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2600416 + ... + 2600864.

Almost surely, 2^1167687360 is an apocalyptic number.

1167687360 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 1167687360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2414016000).

1167687360 is an abundant number, since it is smaller than the sum of its proper divisors (3660344640).

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

1167687360 is a wasteful number, since it uses less digits than its factorization.

1167687360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 1167687360 is about 34171.4407071168. The cubic root of 1167687360 is about 1053.0335132717.

The spelling of 1167687360 in words is "one billion, one hundred sixty-seven million, six hundred eighty-seven thousand, three hundred sixty".