11867520 has 128 divisors (see below), whose sum is σ = 43280640. Its totient is φ = 2709504.

The previous prime is 11867501. The next prime is 11867549. The reversal of 11867520 is 2576811.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12999 + ... + 13881.

It is an arithmetic number, because the mean of its divisors is an integer number (338130).

Almost surely, 2^11867520 is an apocalyptic number.

11867520 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 11867520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21640320).

11867520 is an abundant number, since it is smaller than the sum of its proper divisors (31413120).

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

11867520 is an equidigital number, since it uses as much as digits as its factorization.

11867520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The square root of 11867520 is about 3444.9267045904. The cubic root of 11867520 is about 228.0972192354.

The spelling of 11867520 in words is "eleven million, eight hundred sixty-seven thousand, five hundred twenty".