1181673360 has 400 divisors, whose sum is σ = 4753267200. Its totient is φ = 266499072.

The previous prime is 1181673359. The next prime is 1181673379. The reversal of 1181673360 is 633761811.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4944121 + ... + 4944359.

It is an arithmetic number, because the mean of its divisors is an integer number (11883168).

Almost surely, 2^1181673360 is an apocalyptic number.

1181673360 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 1181673360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2376633600).

1181673360 is an abundant number, since it is smaller than the sum of its proper divisors (3571593840).

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

1181673360 is a wasteful number, since it uses less digits than its factorization.

1181673360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 1181673360 is about 34375.4761421569. The cubic root of 1181673360 is about 1057.2210823189.

It can be divided in two parts, 1181 and 673360, that added together give a triangular number (674541 = T₁₁₆₁).

The spelling of 1181673360 in words is "one billion, one hundred eighty-one million, six hundred seventy-three thousand, three hundred sixty".