1089531600 has 240 divisors, whose sum is σ = 3659980032. Its totient is φ = 276756480.

The previous prime is 1089531593. The next prime is 1089531607. The reversal of 1089531600 is 61359801.

It is an interprime number because it is at equal distance from previous prime (1089531593) and next prime (1089531607).

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1089531607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2352969 + ... + 2353431.

Almost surely, 2^1089531600 is an apocalyptic number.

1089531600 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 1089531600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1829990016).

1089531600 is an abundant number, since it is smaller than the sum of its proper divisors (2570448432).

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

1089531600 is a wasteful number, since it uses less digits than its factorization.

1089531600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The square root of 1089531600 is about 33008.0535627292. The cubic root of 1089531600 is about 1028.9950294469.

The spelling of 1089531600 in words is "one billion, eighty-nine million, five hundred thirty-one thousand, six hundred".