1089316800 has 756 divisors, whose sum is σ = 4754919624. Its totient is φ = 233164800.

The previous prime is 1089316793. The next prime is 1089316801. The reversal of 1089316800 is 86139801.

It is a super-2 number, since 2×1089316800² = 2373222181524480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1089316801) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 47361589 + ... + 47361611.

Almost surely, 2^1089316800 is an apocalyptic number.

1089316800 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 1089316800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2377459812).

1089316800 is an abundant number, since it is smaller than the sum of its proper divisors (3665602824).

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

1089316800 is a wasteful number, since it uses less digits than its factorization.

1089316800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 1089316800 is about 33004.7996509599. The cubic root of 1089316800 is about 1028.9274032428.

The spelling of 1089316800 in words is "one billion, eighty-nine million, three hundred sixteen thousand, eight hundred".