1182829680 has 120 divisors (see below), whose sum is σ = 4020398928. Its totient is φ = 311605248.

The previous prime is 1182829619. The next prime is 1182829691. The reversal of 1182829680 is 869282811.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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 23 ways as a sum of consecutive naturals, for example, 49864 + ... + 69656.

Almost surely, 2^1182829680 is an apocalyptic number.

1182829680 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 1182829680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2010199464).

1182829680 is an abundant number, since it is smaller than the sum of its proper divisors (2837569248).

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

1182829680 is a wasteful number, since it uses less digits than its factorization.

1182829680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19895 (or 19886 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The square root of 1182829680 is about 34392.2909966754. The cubic root of 1182829680 is about 1057.5658158658.

The spelling of 1182829680 in words is "one billion, one hundred eighty-two million, eight hundred twenty-nine thousand, six hundred eighty".