1089544320 has 384 divisors, whose sum is σ = 3969725760. Its totient is φ = 275079168.

The previous prime is 1089544301. The next prime is 1089544349. The reversal of 1089544320 is 234459801.

1089544320 is a `hidden beast` number, since 1 + 0 + 89 + 544 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

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, 13126999 + ... + 13127081.

Almost surely, 2^1089544320 is an apocalyptic number.

1089544320 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 1089544320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1984862880).

1089544320 is an abundant number, since it is smaller than the sum of its proper divisors (2880181440).

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

1089544320 is a wasteful number, since it uses less digits than its factorization.

1089544320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1089544320 is about 33008.2462424165. The cubic root of 1089544320 is about 1028.9990338484. Note that the first 3 decimals are identical.

The spelling of 1089544320 in words is "one billion, eighty-nine million, five hundred forty-four thousand, three hundred twenty".