11638960 has 20 divisors (see below), whose sum is σ = 27060768. Its totient is φ = 4655552.

The previous prime is 11638951. The next prime is 11638961. The reversal of 11638960 is 6983611.

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (11638961) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 72664 + ... + 72823.

Almost surely, 2^11638960 is an apocalyptic number.

11638960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11638960 is an abundant number, since it is smaller than the sum of its proper divisors (15421808).

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

11638960 is a wasteful number, since it uses less digits than its factorization.

11638960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145500 (or 145494 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 34.

The square root of 11638960 is about 3411.5920037425. The cubic root of 11638960 is about 226.6233865847.

The spelling of 11638960 in words is "eleven million, six hundred thirty-eight thousand, nine hundred sixty".