1167124140 has 648 divisors, whose sum is σ = 4784073840. Its totient is φ = 237758976.

The previous prime is 1167124109. The next prime is 1167124151. The reversal of 1167124140 is 414217611.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 40245646 + ... + 40245674.

It is an arithmetic number, because the mean of its divisors is an integer number (7382830).

Almost surely, 2^1167124140 is an apocalyptic number.

1167124140 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 1167124140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2392036920).

1167124140 is an abundant number, since it is smaller than the sum of its proper divisors (3616949700).

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

1167124140 is a wasteful number, since it uses less digits than its factorization.

1167124140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 1167124140 is about 34163.1986207381. The cubic root of 1167124140 is about 1052.8641800130.

The spelling of 1167124140 in words is "one billion, one hundred sixty-seven million, one hundred twenty-four thousand, one hundred forty".