1186676480 has 144 divisors (see below), whose sum is σ = 3122316288. Its totient is φ = 428544000.

The previous prime is 1186676473. The next prime is 1186676509. The reversal of 1186676480 is 846766811.

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, 3815525 + ... + 3815835.

It is an arithmetic number, because the mean of its divisors is an integer number (21682752).

Almost surely, 2^1186676480 is an apocalyptic number.

1186676480 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 1186676480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1561158144).

1186676480 is an abundant number, since it is smaller than the sum of its proper divisors (1935639808).

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

1186676480 is a wasteful number, since it uses less digits than its factorization.

1186676480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 47.

The square root of 1186676480 is about 34448.1709238676. The cubic root of 1186676480 is about 1058.7110474944.

The spelling of 1186676480 in words is "one billion, one hundred eighty-six million, six hundred seventy-six thousand, four hundred eighty".