11953140 has 96 divisors (see below), whose sum is σ = 35392896. Its totient is φ = 3010560.

The previous prime is 11953129. The next prime is 11953163. The reversal of 11953140 is 4135911.

It is a self number, because there is not a number n which added to its sum of digits gives 11953140.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105724 + ... + 105836.

It is an arithmetic number, because the mean of its divisors is an integer number (368676).

Almost surely, 2^11953140 is an apocalyptic number.

11953140 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 11953140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17696448).

11953140 is an abundant number, since it is smaller than the sum of its proper divisors (23439756).

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

11953140 is a wasteful number, since it uses less digits than its factorization.

11953140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 24.

The square root of 11953140 is about 3457.3313407887. The cubic root of 11953140 is about 228.6444524863.

The spelling of 11953140 in words is "eleven million, nine hundred fifty-three thousand, one hundred forty".