9273680 has 80 divisors (see below), whose sum is σ = 23946384. Its totient is φ = 3317760.

The previous prime is 9273659. The next prime is 9273689. The reversal of 9273680 is 863729.

It can be written as a sum of positive squares in 8 ways, for example, as 80656 + 9193024 = 284^2 + 3032^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×9273680² = 172002281484800, which contains 22 as substring.

It is a plaindrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 9273680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9273689) 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, 38360 + ... + 38600.

Almost surely, 2^9273680 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 9273680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11973192).

9273680 is an abundant number, since it is smaller than the sum of its proper divisors (14672704).

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

9273680 is a wasteful number, since it uses less digits than its factorization.

9273680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 35.

The square root of 9273680 is about 3045.2717448530. The cubic root of 9273680 is about 210.0957990727.

The spelling of 9273680 in words is "nine million, two hundred seventy-three thousand, six hundred eighty".