1167561144 has 96 divisors (see below), whose sum is σ = 3313159200. Its totient is φ = 370740480.

The previous prime is 1167561137. The next prime is 1167561149. The reversal of 1167561144 is 4411657611.

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 = 1167561099 and 1167561108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1167561149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 444154 + ... + 446774.

It is an arithmetic number, because the mean of its divisors is an integer number (34512075).

Almost surely, 2^1167561144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1167561144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1656579600).

1167561144 is an abundant number, since it is smaller than the sum of its proper divisors (2145598056).

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

1167561144 is a wasteful number, since it uses less digits than its factorization.

1167561144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2925 (or 2918 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 1167561144 is about 34169.5938518444. The cubic root of 1167561144 is about 1052.9955709048.

The spelling of 1167561144 in words is "one billion, one hundred sixty-seven million, five hundred sixty-one thousand, one hundred forty-four".