11986480 has 80 divisors (see below), whose sum is σ = 31096224. Its totient is φ = 4259840.

The previous prime is 11986463. The next prime is 11986493. The reversal of 11986480 is 8468911.

It is a happy number.

11986480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46512 + ... + 46768.

Almost surely, 2^11986480 is an apocalyptic number.

11986480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11986480 is the 2827-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11986480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15548112).

11986480 is an abundant number, since it is smaller than the sum of its proper divisors (19109744).

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

11986480 is a wasteful number, since it uses less digits than its factorization.

11986480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 37.

The square root of 11986480 is about 3462.1496212613. The cubic root of 11986480 is about 228.8568354412.

The spelling of 11986480 in words is "eleven million, nine hundred eighty-six thousand, four hundred eighty".