9005376 has 112 divisors (see below), whose sum is σ = 26334720. Its totient is φ = 2703360.

The previous prime is 9005371. The next prime is 9005387. The reversal of 9005376 is 6735009.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9005371) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101140 + ... + 101228.

Almost surely, 2^9005376 is an apocalyptic number.

9005376 is a gapful number since it is divisible by the number (96) 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 9005376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13167360).

9005376 is an abundant number, since it is smaller than the sum of its proper divisors (17329344).

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

9005376 is a wasteful number, since it uses less digits than its factorization.

9005376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 30.

The square root of 9005376 is about 3000.8958662373. The cubic root of 9005376 is about 208.0497908415.

The spelling of 9005376 in words is "nine million, five thousand, three hundred seventy-six".