1182506880 has 128 divisors (see below), whose sum is σ = 3857166720. Its totient is φ = 307980288.

The previous prime is 1182506879. The next prime is 1182506911. The reversal of 1182506880 is 886052811.

1182506880 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75399 + ... + 89721.

It is an arithmetic number, because the mean of its divisors is an integer number (30134115).

Almost surely, 2^1182506880 is an apocalyptic number.

1182506880 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 1182506880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1928583360).

1182506880 is an abundant number, since it is smaller than the sum of its proper divisors (2674659840).

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

1182506880 is a wasteful number, since it uses less digits than its factorization.

1182506880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14388 (or 14376 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 39.

The square root of 1182506880 is about 34387.5977643103. The cubic root of 1182506880 is about 1057.4696021531.

The spelling of 1182506880 in words is "one billion, one hundred eighty-two million, five hundred six thousand, eight hundred eighty".