11671520 has 96 divisors (see below), whose sum is σ = 33421248. Its totient is φ = 3760128.

The previous prime is 11671507. The next prime is 11671523. The reversal of 11671520 is 2517611.

It is a super-2 number, since 2×11671520² = 272448758220800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11671523) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 18734 + ... + 19346.

It is an arithmetic number, because the mean of its divisors is an integer number (348138).

Almost surely, 2^11671520 is an apocalyptic number.

11671520 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 11671520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16710624).

11671520 is an abundant number, since it is smaller than the sum of its proper divisors (21749728).

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

11671520 is a wasteful number, since it uses less digits than its factorization.

11671520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 23.

The square root of 11671520 is about 3416.3606367010. The cubic root of 11671520 is about 226.8345161975.

The spelling of 11671520 in words is "eleven million, six hundred seventy-one thousand, five hundred twenty".