11405880 has 128 divisors (see below), whose sum is σ = 38880000. Its totient is φ = 2973312.

The previous prime is 11405873. The next prime is 11405899. The reversal of 11405880 is 8850411.

It is a super-3 number, since 3×11405880³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 63631 + ... + 63809.

It is an arithmetic number, because the mean of its divisors is an integer number (303750).

Almost surely, 2^11405880 is an apocalyptic number.

11405880 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 11405880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19440000).

11405880 is an abundant number, since it is smaller than the sum of its proper divisors (27474120).

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

11405880 is a wasteful number, since it uses less digits than its factorization.

11405880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 11405880 is about 3377.2592438248. The cubic root of 11405880 is about 225.1003996374.

The spelling of 11405880 in words is "eleven million, four hundred five thousand, eight hundred eighty".