11697920 has 144 divisors (see below), whose sum is σ = 32622240. Its totient is φ = 3981312.

The previous prime is 11697919. The next prime is 11697929. The reversal of 11697920 is 2979611.

11697920 = T₄₄₈ + T₄₄₉ + ... + T₅₄₂.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11697929) 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, 316142 + ... + 316178.

Almost surely, 2^11697920 is an apocalyptic number.

11697920 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 11697920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16311120).

11697920 is an abundant number, since it is smaller than the sum of its proper divisors (20924320).

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

11697920 is a wasteful number, since it uses less digits than its factorization.

11697920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 35.

The square root of 11697920 is about 3420.2222150030. Note that the first 4 decimals coincide. The cubic root of 11697920 is about 227.0054142977.

The spelling of 11697920 in words is "eleven million, six hundred ninety-seven thousand, nine hundred twenty".