11856480 has 96 divisors (see below), whose sum is σ = 39572064. Its totient is φ = 2973696.

The previous prime is 11856479. The next prime is 11856511. The reversal of 11856480 is 8465811.

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

It is a super-2 number, since 2×11856480² = 281152235980800, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 7434 + ... + 8886.

It is an arithmetic number, because the mean of its divisors is an integer number (412209).

Almost surely, 2^11856480 is an apocalyptic number.

11856480 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 11856480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19786032).

11856480 is an abundant number, since it is smaller than the sum of its proper divisors (27715584).

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

11856480 is a wasteful number, since it uses less digits than its factorization.

11856480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1488 (or 1480 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The square root of 11856480 is about 3443.3239754632. The cubic root of 11856480 is about 228.0264666106.

The spelling of 11856480 in words is "eleven million, eight hundred fifty-six thousand, four hundred eighty".