1182679680 has 384 divisors, whose sum is σ = 4727479680. Its totient is φ = 249274368.

The previous prime is 1182679669. The next prime is 1182679709. The reversal of 1182679680 is 869762811.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1222557 + ... + 1223523.

It is an arithmetic number, because the mean of its divisors is an integer number (12311145).

Almost surely, 2^1182679680 is an apocalyptic number.

1182679680 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 1182679680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2363739840).

1182679680 is an abundant number, since it is smaller than the sum of its proper divisors (3544800000).

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

1182679680 is a wasteful number, since it uses less digits than its factorization.

1182679680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1016 (or 997 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 48.

The square root of 1182679680 is about 34390.1102062788. The cubic root of 1182679680 is about 1057.5211090690.

The spelling of 1182679680 in words is "one billion, one hundred eighty-two million, six hundred seventy-nine thousand, six hundred eighty".