1089475680 has 96 divisors (see below), whose sum is σ = 3438741600. Its totient is φ = 289943552.

The previous prime is 1089475669. The next prime is 1089475691. The reversal of 1089475680 is 865749801.

It is an interprime number because it is at equal distance from previous prime (1089475669) and next prime (1089475691).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1089475680² = 2373914514622924800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 271126 + ... + 275114.

It is an arithmetic number, because the mean of its divisors is an integer number (35820225).

Almost surely, 2^1089475680 is an apocalyptic number.

1089475680 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 1089475680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1719370800).

1089475680 is an abundant number, since it is smaller than the sum of its proper divisors (2349265920).

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

1089475680 is a wasteful number, since it uses less digits than its factorization.

1089475680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4576 (or 4568 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 48.

The square root of 1089475680 is about 33007.2064858570. The cubic root of 1089475680 is about 1028.9774248217.

The spelling of 1089475680 in words is "one billion, eighty-nine million, four hundred seventy-five thousand, six hundred eighty".