1090681200 has 540 divisors, whose sum is σ = 4585930440. Its totient is φ = 248209920.

The previous prime is 1090681169. The next prime is 1090681211. The reversal of 1090681200 is 21860901.

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 107 ways as a sum of consecutive naturals, for example, 4762686 + ... + 4762914.

Almost surely, 2^1090681200 is an apocalyptic number.

1090681200 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 1090681200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2292965220).

1090681200 is an abundant number, since it is smaller than the sum of its proper divisors (3495249240).

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

1090681200 is a wasteful number, since it uses less digits than its factorization.

1090681200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 1090681200 is about 33025.4629036445. The cubic root of 1090681200 is about 1029.3568108703.

The spelling of 1090681200 in words is "one billion, ninety million, six hundred eighty-one thousand, two hundred".