1089648 has 120 divisors (see below), whose sum is σ = 3714048. Its totient is φ = 291456.

The previous prime is 1089629. The next prime is 1089653. The reversal of 1089648 is 8469801.

It is a happy number.

1089648 is a `hidden beast` number, since 1 + 0 + 8 + 9 + 648 = 666.

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 23 ways as a sum of consecutive naturals, for example, 23161 + ... + 23207.

2^1089648 is an apocalyptic number.

1089648 is a gapful number since it is divisible by the number (18) 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 1089648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1857024).

1089648 is an abundant number, since it is smaller than the sum of its proper divisors (2624400).

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

1089648 is a wasteful number, since it uses less digits than its factorization.

1089648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 1089648 is about 1043.8620598527. The cubic root of 1089648 is about 102.9031672336.

The spelling of 1089648 in words is "one million, eighty-nine thousand, six hundred forty-eight".