9993280 has 112 divisors (see below), whose sum is σ = 27651456. Its totient is φ = 3399680.

The previous prime is 9993271. The next prime is 9993289. The reversal of 9993280 is 823999.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (9993271) and next prime (9993289).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9993289) 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, 59757 + ... + 59923.

It is an arithmetic number, because the mean of its divisors is an integer number (246888).

Almost surely, 2^9993280 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 9993280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13825728).

9993280 is an abundant number, since it is smaller than the sum of its proper divisors (17658176).

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

9993280 is a wasteful number, since it uses less digits than its factorization.

9993280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 40.

The square root of 9993280 is about 3161.2149563103. The cubic root of 9993280 is about 215.3951988520.

The spelling of 9993280 in words is "nine million, nine hundred ninety-three thousand, two hundred eighty".