1167359040 has 280 divisors, whose sum is σ = 4298457240. Its totient is φ = 300367872.

The previous prime is 1167358999. The next prime is 1167359041. The reversal of 1167359040 is 409537611.

1167359040 is a `hidden beast` number, since 1 + 1 + 67 + 3 + 590 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12446784 + 1154912256 = 3528^2 + 33984^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1167358986 and 1167359004.

It is not an unprimeable number, because it can be changed into a prime (1167359041) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 750904 + ... + 752456.

It is an arithmetic number, because the mean of its divisors is an integer number (15351633).

Almost surely, 2^1167359040 is an apocalyptic number.

1167359040 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 1167359040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2149228620).

1167359040 is an abundant number, since it is smaller than the sum of its proper divisors (3131098200).

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

1167359040 is a wasteful number, since it uses less digits than its factorization.

1167359040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1611 (or 1592 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 1167359040 is about 34166.6363577101. The cubic root of 1167359040 is about 1052.9348098050.

The spelling of 1167359040 in words is "one billion, one hundred sixty-seven million, three hundred fifty-nine thousand, forty".