1089972 has 72 divisors (see below), whose sum is σ = 3164616. Its totient is φ = 313344.

The previous prime is 1089967. The next prime is 1090003. The reversal of 1089972 is 2799801.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 156816 + 933156 = 396^2 + 966^2 .

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, 7888 + ... + 8024.

It is an arithmetic number, because the mean of its divisors is an integer number (43953).

2^1089972 is an apocalyptic number.

1089972 is a gapful number since it is divisible by the number (12) 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 1089972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1582308).

1089972 is an abundant number, since it is smaller than the sum of its proper divisors (2074644).

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

1089972 is a wasteful number, since it uses less digits than its factorization.

1089972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 1089972 is about 1044.0172412369. The cubic root of 1089972 is about 102.9133654267.

Subtracting from 1089972 its sum of digits (36), we obtain a square (1089936 = 1044²).

The spelling of 1089972 in words is "one million, eighty-nine thousand, nine hundred seventy-two".