1167008640 has 256 divisors, whose sum is σ = 4389949440. Its totient is φ = 258048000.

The previous prime is 1167008621. The next prime is 1167008651. The reversal of 1167008640 is 468007611.

It is a happy number.

It is a congruent number.

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, 415240 + ... + 418040.

It is an arithmetic number, because the mean of its divisors is an integer number (17148240).

Almost surely, 2^1167008640 is an apocalyptic number.

1167008640 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 1167008640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2194974720).

1167008640 is an abundant number, since it is smaller than the sum of its proper divisors (3222940800).

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

1167008640 is a wasteful number, since it uses less digits than its factorization.

1167008640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2861 (or 2849 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 1167008640 is about 34161.5081634286. The cubic root of 1167008640 is about 1052.8294479680.

The spelling of 1167008640 in words is "one billion, one hundred sixty-seven million, eight thousand, six hundred forty".