1180280640 has 336 divisors, whose sum is σ = 4757586624. Its totient is φ = 245145600.

The previous prime is 1180280611. The next prime is 1180280659. The reversal of 1180280640 is 460820811.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1180280598 and 1180280607.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 516300 + ... + 518580.

It is an arithmetic number, because the mean of its divisors is an integer number (14159484).

Almost surely, 2^1180280640 is an apocalyptic number.

1180280640 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 1180280640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2378793312).

1180280640 is an abundant number, since it is smaller than the sum of its proper divisors (3577305984).

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

1180280640 is a wasteful number, since it uses less digits than its factorization.

1180280640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2326 (or 2309 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 1180280640 is about 34355.2127049157. The cubic root of 1180280640 is about 1056.8055721797.

The spelling of 1180280640 in words is "one billion, one hundred eighty million, two hundred eighty thousand, six hundred forty".