1081984000 has 176 divisors, whose sum is σ = 2759028480. Its totient is φ = 423321600.

The previous prime is 1081983983. The next prime is 1081984019. The reversal of 1081984000 is 4891801.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

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, 10111947 + ... + 10112053.

Almost surely, 2^1081984000 is an apocalyptic number.

1081984000 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 1081984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1379514240).

1081984000 is an abundant number, since it is smaller than the sum of its proper divisors (1677044480).

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

1081984000 is an equidigital number, since it uses as much as digits as its factorization.

1081984000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 31.

The square root of 1081984000 is about 32893.5251987378. The cubic root of 1081984000 is about 1026.6134415165.

The spelling of 1081984000 in words is "one billion, eighty-one million, nine hundred eighty-four thousand".