11947680 has 72 divisors (see below), whose sum is σ = 40776372. Its totient is φ = 3185664.

The previous prime is 11947657. The next prime is 11947693. The reversal of 11947680 is 8674911.

It can be written as a sum of positive squares in 2 ways, for example, as 11048976 + 898704 = 3324^2 + 948^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 2709 + ... + 5588.

Almost surely, 2^11947680 is an apocalyptic number.

11947680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11947680 is an abundant number, since it is smaller than the sum of its proper divisors (28828692).

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

11947680 is a wasteful number, since it uses less digits than its factorization.

11947680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8318 (or 8307 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 11947680 is about 3456.5416242250. The cubic root of 11947680 is about 228.6096334948.

The spelling of 11947680 in words is "eleven million, nine hundred forty-seven thousand, six hundred eighty".