7089408 has 108 divisors (see below), whose sum is σ = 21762468. Its totient is φ = 2211840.

The previous prime is 7089403. The next prime is 7089409. The reversal of 7089408 is 8049807.

It can be written as a sum of positive squares in 2 ways, for example, as 2214144 + 4875264 = 1488^2 + 2208^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7089403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39078 + ... + 39258.

Almost surely, 2^7089408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7089408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10881234).

7089408 is an abundant number, since it is smaller than the sum of its proper divisors (14673060).

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

7089408 is a wasteful number, since it uses less digits than its factorization.

7089408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 7089408 is about 2662.5942236849. The cubic root of 7089408 is about 192.1041102037.

The spelling of 7089408 in words is "seven million, eighty-nine thousand, four hundred eight".