11455080 has 128 divisors (see below), whose sum is σ = 42336000. Its totient is φ = 2414592.

The previous prime is 11455061. The next prime is 11455097. The reversal of 11455080 is 8055411.

11455080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11455080.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10396 + ... + 11444.

It is an arithmetic number, because the mean of its divisors is an integer number (330750).

Almost surely, 2^11455080 is an apocalyptic number.

11455080 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 11455080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21168000).

11455080 is an abundant number, since it is smaller than the sum of its proper divisors (30880920).

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

11455080 is a wasteful number, since it uses less digits than its factorization.

11455080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1083 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 24.

The square root of 11455080 is about 3384.5354186358. The cubic root of 11455080 is about 225.4235970747.

The spelling of 11455080 in words is "eleven million, four hundred fifty-five thousand, eighty".