9131616 has 120 divisors (see below), whose sum is σ = 29028384. Its totient is φ = 2799360.

The previous prime is 9131611. The next prime is 9131641. The reversal of 9131616 is 6161319.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 9131616.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9131611) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 33561 + ... + 33831.

Almost surely, 2^9131616 is an apocalyptic number.

9131616 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 9131616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14514192).

9131616 is an abundant number, since it is smaller than the sum of its proper divisors (19896768).

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

9131616 is a wasteful number, since it uses less digits than its factorization.

9131616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 289 counting only the distinct ones).

The product of its digits is 972, while the sum is 27.

The square root of 9131616 is about 3021.8563830864. The cubic root of 9131616 is about 209.0174508295.

The spelling of 9131616 in words is "nine million, one hundred thirty-one thousand, six hundred sixteen".