11914560 has 224 divisors, whose sum is σ = 48280320. Its totient is φ = 2709504.

The previous prime is 11914541. The next prime is 11914613. The reversal of 11914560 is 6541911.

11914560 is a `hidden beast` number, since 11 + 91 + 4 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60382 + ... + 60578.

Almost surely, 2^11914560 is an apocalyptic number.

11914560 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 11914560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24140160).

11914560 is an abundant number, since it is smaller than the sum of its proper divisors (36365760).

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

11914560 is a wasteful number, since it uses less digits than its factorization.

11914560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 11914560 is about 3451.7473835726. The cubic root of 11914560 is about 228.3981961226.

The spelling of 11914560 in words is "eleven million, nine hundred fourteen thousand, five hundred sixty".