1081656000 has 336 divisors, whose sum is σ = 3937516128. Its totient is φ = 283392000.

The previous prime is 1081655989. The next prime is 1081656019. The reversal of 1081656000 is 6561801.

1081656000 is a `hidden beast` number, since 1 + 0 + 8 + 1 + 656 + 0 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5975910 + ... + 5976090.

It is an arithmetic number, because the mean of its divisors is an integer number (11718798).

Almost surely, 2^1081656000 is an apocalyptic number.

1081656000 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 1081656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1968758064).

1081656000 is an abundant number, since it is smaller than the sum of its proper divisors (2855860128).

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

1081656000 is a wasteful number, since it uses less digits than its factorization.

1081656000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 1081656000 is about 32888.5390371783. The cubic root of 1081656000 is about 1026.5096928349.

The spelling of 1081656000 in words is "one billion, eighty-one million, six hundred fifty-six thousand".