1089860800 has 336 divisors, whose sum is σ = 3281631232. Its totient is φ = 348364800.

The previous prime is 1089860791. The next prime is 1089860813. The reversal of 1089860800 is 80689801.

It is a happy number.

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

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, 14929564 + ... + 14929636.

Almost surely, 2^1089860800 is an apocalyptic number.

1089860800 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 1089860800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1640815616).

1089860800 is an abundant number, since it is smaller than the sum of its proper divisors (2191770432).

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

1089860800 is a wasteful number, since it uses less digits than its factorization.

1089860800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 40.

The square root of 1089860800 is about 33013.0398479146. The cubic root of 1089860800 is about 1029.0986553391.

The spelling of 1089860800 in words is "one billion, eighty-nine million, eight hundred sixty thousand, eight hundred".