11434880 has 64 divisors (see below), whose sum is σ = 28972080. Its totient is φ = 4300800.

The previous prime is 11434879. The next prime is 11434883. The reversal of 11434880 is 8843411.

11434880 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 (64).

It is a super-2 number, since 2×11434880² = 261512961228800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11434883) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10355 + ... + 11405.

Almost surely, 2^11434880 is an apocalyptic number.

11434880 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 11434880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14486040).

11434880 is an abundant number, since it is smaller than the sum of its proper divisors (17537200).

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

11434880 is a wasteful number, since it uses less digits than its factorization.

11434880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1087 (or 1075 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 11434880 is about 3381.5499404859. The cubic root of 11434880 is about 225.2910143870.

The spelling of 11434880 in words is "eleven million, four hundred thirty-four thousand, eight hundred eighty".