11796480 has 114 divisors (see below), whose sum is σ = 40894386. Its totient is φ = 3145728.

The previous prime is 11796469. The next prime is 11796503. The reversal of 11796480 is 8469711.

It is a Jordan-Polya number, since it can be written as 6! ⋅ (2!)¹⁴.

11796480 is a `hidden beast` number, since 1 + 1 + 7 + 9 + 648 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9437184 + 2359296 = 3072^2 + 1536^2 .

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

It is a nialpdrome in base 8 and base 16.

It is a zygodrome in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2359294 + ... + 2359298.

Almost surely, 2^11796480 is an apocalyptic number.

11796480 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 11796480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20447193).

11796480 is an abundant number, since it is smaller than the sum of its proper divisors (29097906).

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

11796480 is an frugal number, since it uses more digits than its factorization.

11796480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47 (or 10 counting only the distinct ones).

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

The square root of 11796480 is about 3434.6004134397. The cubic root of 11796480 is about 227.6411714874.

The spelling of 11796480 in words is "eleven million, seven hundred ninety-six thousand, four hundred eighty".