1167765984 has 240 divisors, whose sum is σ = 4282540416. Its totient is φ = 303264000.

The previous prime is 1167765983. The next prime is 1167766003. The reversal of 1167765984 is 4895677611.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 1167765984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1167765983) 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, 196659 + ... + 202509.

Almost surely, 2^1167765984 is an apocalyptic number.

1167765984 is a gapful number since it is divisible by the number (14) 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 1167765984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2141270208).

1167765984 is an abundant number, since it is smaller than the sum of its proper divisors (3114774432).

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

1167765984 is a wasteful number, since it uses less digits than its factorization.

1167765984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5891 (or 5874 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 54.

The square root of 1167765984 is about 34172.5911221259. The cubic root of 1167765984 is about 1053.0571474086.

It can be divided in two parts, 116776 and 5984, that added together give a triangular number (122760 = T₄₉₅).

The spelling of 1167765984 in words is "one billion, one hundred sixty-seven million, seven hundred sixty-five thousand, nine hundred eighty-four".