11959640 has 96 divisors (see below), whose sum is σ = 33899040. Its totient is φ = 3717120.

The previous prime is 11959627. The next prime is 11959669. The reversal of 11959640 is 4695911.

11959640 = T₁₈₈ + T₁₈₉ + ... + T₄₂₇.

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 11959640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33704 + ... + 34056.

It is an arithmetic number, because the mean of its divisors is an integer number (353115).

Almost surely, 2^11959640 is an apocalyptic number.

11959640 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 11959640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16949520).

11959640 is an abundant number, since it is smaller than the sum of its proper divisors (21939400).

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

11959640 is a wasteful number, since it uses less digits than its factorization.

11959640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 35.

The square root of 11959640 is about 3458.2712444226. The cubic root of 11959640 is about 228.6858898445.

The spelling of 11959640 in words is "eleven million, nine hundred fifty-nine thousand, six hundred forty".