11732880 has 160 divisors (see below), whose sum is σ = 39997440. Its totient is φ = 2833920.

The previous prime is 11732863. The next prime is 11732881. The reversal of 11732880 is 8823711.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (11732881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 141319 + ... + 141401.

It is an arithmetic number, because the mean of its divisors is an integer number (249984).

Almost surely, 2^11732880 is an apocalyptic number.

11732880 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 11732880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19998720).

11732880 is an abundant number, since it is smaller than the sum of its proper divisors (28264560).

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

11732880 is a wasteful number, since it uses less digits than its factorization.

11732880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 11732880 is about 3425.3291812613. The cubic root of 11732880 is about 227.2313295750.

The spelling of 11732880 in words is "eleven million, seven hundred thirty-two thousand, eight hundred eighty".