11671920 has 240 divisors, whose sum is σ = 44684640. Its totient is φ = 2709504.

The previous prime is 11671889. The next prime is 11671927. The reversal of 11671920 is 2917611.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11671927) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 271419 + ... + 271461.

It is an arithmetic number, because the mean of its divisors is an integer number (186186).

Almost surely, 2^11671920 is an apocalyptic number.

11671920 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 11671920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22342320).

11671920 is an abundant number, since it is smaller than the sum of its proper divisors (33012720).

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

11671920 is a wasteful number, since it uses less digits than its factorization.

11671920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

The square root of 11671920 is about 3416.4191780284. The cubic root of 11671920 is about 226.8371074844.

The spelling of 11671920 in words is "eleven million, six hundred seventy-one thousand, nine hundred twenty".