11993280 has 168 divisors, whose sum is σ = 42373296. Its totient is φ = 2856960.

The previous prime is 11993273. The next prime is 11993287. The reversal of 11993280 is 8239911.

It is an interprime number because it is at equal distance from previous prime (11993273) and next prime (11993287).

It is not an unprimeable number, because it can be changed into a prime (11993287) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 386865 + ... + 386895.

It is an arithmetic number, because the mean of its divisors is an integer number (252222).

Almost surely, 2^11993280 is an apocalyptic number.

11993280 is a gapful number since it is divisible by the number (10) 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 11993280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21186648).

11993280 is an abundant number, since it is smaller than the sum of its proper divisors (30380016).

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

11993280 is a wasteful number, since it uses less digits than its factorization.

11993280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 33.

The square root of 11993280 is about 3463.1315308547. The cubic root of 11993280 is about 228.9001045324.

The spelling of 11993280 in words is "eleven million, nine hundred ninety-three thousand, two hundred eighty".