11632140 has 96 divisors (see below), whose sum is σ = 38996160. Its totient is φ = 2861568.

The previous prime is 11632139. The next prime is 11632141. The reversal of 11632140 is 4123611.

It is a happy number.

11632140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11632139) and next prime (11632141).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (11632141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6192 + ... + 7848.

It is an arithmetic number, because the mean of its divisors is an integer number (406210).

Almost surely, 2^11632140 is an apocalyptic number.

11632140 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 11632140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19498080).

11632140 is an abundant number, since it is smaller than the sum of its proper divisors (27364020).

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

11632140 is a wasteful number, since it uses less digits than its factorization.

11632140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1688 (or 1680 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 11632140 is about 3410.5923239226. The cubic root of 11632140 is about 226.5791136291.

Adding to 11632140 its reverse (4123611), we get a palindrome (15755751).

The spelling of 11632140 in words is "eleven million, six hundred thirty-two thousand, one hundred forty".