9003960 has 160 divisors (see below), whose sum is σ = 34673760. Its totient is φ = 2052864.

The previous prime is 9003959. The next prime is 9003977. The reversal of 9003960 is 693009.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 22482 + ... + 22878.

It is an arithmetic number, because the mean of its divisors is an integer number (216711).

Almost surely, 2^9003960 is an apocalyptic number.

9003960 is a gapful number since it is divisible by the number (90) 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 9003960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17336880).

9003960 is an abundant number, since it is smaller than the sum of its proper divisors (25669800).

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

9003960 is a wasteful number, since it uses less digits than its factorization.

9003960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 9003960 is about 3000.6599274160. The cubic root of 9003960 is about 208.0388857279.

Adding to 9003960 its reverse (693009), we get a palindrome (9696969).

The spelling of 9003960 in words is "nine million, three thousand, nine hundred sixty".