1081688800 has 36 divisors (see below), whose sum is σ = 2640674736. Its totient is φ = 432675200.

The previous prime is 1081688759. The next prime is 1081688809. The reversal of 1081688800 is 88861801.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1081688809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 675256 + ... + 676855.

It is an arithmetic number, because the mean of its divisors is an integer number (73352076).

Almost surely, 2^1081688800 is an apocalyptic number.

1081688800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1081688800 is an abundant number, since it is smaller than the sum of its proper divisors (1558985936).

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

1081688800 is a wasteful number, since it uses less digits than its factorization.

1081688800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1352131 (or 1352118 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 40.

The square root of 1081688800 is about 32889.0376873511. The cubic root of 1081688800 is about 1026.5200686468.

The spelling of 1081688800 in words is "one billion, eighty-one million, six hundred eighty-eight thousand, eight hundred".