1167705040 has 60 divisors (see below), whose sum is σ = 2865395844. Its totient is φ = 442487808.

The previous prime is 1167705023. The next prime is 1167705041. The reversal of 1167705040 is 405077611.

It can be written as a sum of positive squares in 2 ways, for example, as 284664384 + 883040656 = 16872^2 + 29716^2 .

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1167704993 and 1167705011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1167705041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8664 + ... + 49096.

Almost surely, 2^1167705040 is an apocalyptic number.

1167705040 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 1167705040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1432697922).

1167705040 is an abundant number, since it is smaller than the sum of its proper divisors (1697690804).

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

1167705040 is a wasteful number, since it uses less digits than its factorization.

1167705040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40484 (or 40459 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 31.

The square root of 1167705040 is about 34171.6994016979. The cubic root of 1167705040 is about 1053.0388279188.

The spelling of 1167705040 in words is "one billion, one hundred sixty-seven million, seven hundred five thousand, forty".