1082854080 has 672 divisors, whose sum is σ = 4907036160. Its totient is φ = 212336640.

The previous prime is 1082854057. The next prime is 1082854093. The reversal of 1082854080 is 804582801.

1082854080 is a `hidden beast` number, since 10 + 8 + 28 + 540 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 95 ways as a sum of consecutive naturals, for example, 4213312 + ... + 4213568.

Almost surely, 2^1082854080 is an apocalyptic number.

1082854080 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 1082854080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2453518080).

1082854080 is an abundant number, since it is smaller than the sum of its proper divisors (3824182080).

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

1082854080 is a wasteful number, since it uses less digits than its factorization.

1082854080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 1082854080 is about 32906.7482440912. The cubic root of 1082854080 is about 1026.8885523307. Note that the first 3 decimals are identical.

The spelling of 1082854080 in words is "one billion, eighty-two million, eight hundred fifty-four thousand, eighty".