11702880 has 288 divisors, whose sum is σ = 48432384. Its totient is φ = 2612736.

The previous prime is 11702869. The next prime is 11702893. The reversal of 11702880 is 8820711.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 272139 + ... + 272181.

It is an arithmetic number, because the mean of its divisors is an integer number (168168).

Almost surely, 2^11702880 is an apocalyptic number.

11702880 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 11702880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24216192).

11702880 is an abundant number, since it is smaller than the sum of its proper divisors (36729504).

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

11702880 is an equidigital number, since it uses as much as digits as its factorization.

11702880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 11702880 is about 3420.9472372429. The cubic root of 11702880 is about 227.0374937259.

The spelling of 11702880 in words is "eleven million, seven hundred two thousand, eight hundred eighty".