11479680 has 96 divisors (see below), whose sum is σ = 39660660. Its totient is φ = 3059712.

The previous prime is 11479649. The next prime is 11479681. The reversal of 11479680 is 8697411.

It can be written as a sum of positive squares in 2 ways, for example, as 11451456 + 28224 = 3384^2 + 168^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (11479681) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4764 + ... + 6756.

Almost surely, 2^11479680 is an apocalyptic number.

11479680 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 11479680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19830330).

11479680 is an abundant number, since it is smaller than the sum of its proper divisors (28180980).

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

11479680 is a wasteful number, since it uses less digits than its factorization.

11479680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2018 (or 2003 counting only the distinct ones).

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

The square root of 11479680 is about 3388.1676463835. The cubic root of 11479680 is about 225.5848488391.

The spelling of 11479680 in words is "eleven million, four hundred seventy-nine thousand, six hundred eighty".