1080661680 has 180 divisors, whose sum is σ = 4221886032. Its totient is φ = 247000320.

The previous prime is 1080661591. The next prime is 1080661691. The reversal of 1080661680 is 861660801.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19965 + ... + 50595.

Almost surely, 2^1080661680 is an apocalyptic number.

1080661680 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 1080661680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2110943016).

1080661680 is an abundant number, since it is smaller than the sum of its proper divisors (3141224352).

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

1080661680 is a wasteful number, since it uses less digits than its factorization.

1080661680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30664 (or 30648 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 1080661680 is about 32873.4190494387. The cubic root of 1080661680 is about 1026.1950542828.

It can be divided in two parts, 108066 and 1680, that added together give a triangular number (109746 = T₄₆₈).

The spelling of 1080661680 in words is "one billion, eighty million, six hundred sixty-one thousand, six hundred eighty".