11896640 has 112 divisors (see below), whose sum is σ = 33357312. Its totient is φ = 3956736.

The previous prime is 11896637. The next prime is 11896649. The reversal of 11896640 is 4669811.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 11896640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11896649) 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, 105224 + ... + 105336.

Almost surely, 2^11896640 is an apocalyptic number.

11896640 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 11896640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16678656).

11896640 is an abundant number, since it is smaller than the sum of its proper divisors (21460672).

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

11896640 is a wasteful number, since it uses less digits than its factorization.

11896640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 35.

The square root of 11896640 is about 3449.1506200803. The cubic root of 11896640 is about 228.2836318317.

The spelling of 11896640 in words is "eleven million, eight hundred ninety-six thousand, six hundred forty".