11447680 has 64 divisors (see below), whose sum is σ = 28298880. Its totient is φ = 4423680.

The previous prime is 11447677. The next prime is 11447693. The reversal of 11447680 is 8674411.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19552 + ... + 20128.

It is an arithmetic number, because the mean of its divisors is an integer number (442170).

Almost surely, 2^11447680 is an apocalyptic number.

11447680 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 11447680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14149440).

11447680 is an abundant number, since it is smaller than the sum of its proper divisors (16851200).

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

11447680 is an equidigital number, since it uses as much as digits as its factorization.

11447680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 31.

The square root of 11447680 is about 3383.4420343786. The cubic root of 11447680 is about 225.3750452836.

The spelling of 11447680 in words is "eleven million, four hundred forty-seven thousand, six hundred eighty".