1167042240 has 672 divisors, whose sum is σ = 5090257536. Its totient is φ = 238878720.

The previous prime is 1167042229. The next prime is 1167042269. The reversal of 1167042240 is 422407611.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15986844 + ... + 15986916.

It is an arithmetic number, because the mean of its divisors is an integer number (7574788).

Almost surely, 2^1167042240 is an apocalyptic number.

1167042240 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 1167042240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2545128768).

1167042240 is an abundant number, since it is smaller than the sum of its proper divisors (3923215296).

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

1167042240 is a wasteful number, since it uses less digits than its factorization.

1167042240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 1167042240 is about 34161.9999414554. Note that the first 4 decimals coincide. The cubic root of 1167042240 is about 1052.8395520720.

Adding to 1167042240 its reverse (422407611), we get a palindrome (1589449851).

The spelling of 1167042240 in words is "one billion, one hundred sixty-seven million, forty-two thousand, two hundred forty".