11907864 has 64 divisors (see below), whose sum is σ = 34236000. Its totient is φ = 3830400.

The previous prime is 11907829. The next prime is 11907869. The reversal of 11907864 is 46870911.

11907864 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11907869) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5314 + ... + 7214.

Almost surely, 2^11907864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11907864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17118000).

11907864 is an abundant number, since it is smaller than the sum of its proper divisors (22328136).

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

11907864 is a wasteful number, since it uses less digits than its factorization.

11907864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1945 (or 1935 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 11907864 is about 3450.7773037390. Note that the first 3 decimals coincide. The cubic root of 11907864 is about 228.3554013989.

The spelling of 11907864 in words is "eleven million, nine hundred seven thousand, eight hundred sixty-four".