11956080 has 80 divisors (see below), whose sum is σ = 38283264. Its totient is φ = 3083520.

The previous prime is 11956057. The next prime is 11956081. The reversal of 11956080 is 8065911.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11956081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6637 + ... + 8243.

Almost surely, 2^11956080 is an apocalyptic number.

11956080 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 11956080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19141632).

11956080 is an abundant number, since it is smaller than the sum of its proper divisors (26327184).

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

11956080 is a wasteful number, since it uses less digits than its factorization.

11956080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1654 (or 1648 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 30.

The square root of 11956080 is about 3457.7564980779. The cubic root of 11956080 is about 228.6631967824.

The spelling of 11956080 in words is "eleven million, nine hundred fifty-six thousand, eighty".