1181990880 has 576 divisors, whose sum is σ = 4940103168. Its totient is φ = 261273600.

The previous prime is 1181990869. The next prime is 1181990899. The reversal of 1181990880 is 880991811.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 11702830 + ... + 11702930.

It is an arithmetic number, because the mean of its divisors is an integer number (8576568).

Almost surely, 2^1181990880 is an apocalyptic number.

1181990880 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 1181990880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2470051584).

1181990880 is an abundant number, since it is smaller than the sum of its proper divisors (3758112288).

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

1181990880 is a wasteful number, since it uses less digits than its factorization.

1181990880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 45.

The square root of 1181990880 is about 34380.0942407085. The cubic root of 1181990880 is about 1057.3157669096.

The spelling of 1181990880 in words is "one billion, one hundred eighty-one million, nine hundred ninety thousand, eight hundred eighty".