11540952 has 48 divisors (see below), whose sum is σ = 31668000. Its totient is φ = 3796416.

The previous prime is 11540863. The next prime is 11540953. The reversal of 11540952 is 25904511.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11540953) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4674 + ... + 6702.

It is an arithmetic number, because the mean of its divisors is an integer number (659750).

Almost surely, 2^11540952 is an apocalyptic number.

11540952 is a gapful number since it is divisible by the number (12) 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 11540952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15834000).

11540952 is an abundant number, since it is smaller than the sum of its proper divisors (20127048).

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

11540952 is a wasteful number, since it uses less digits than its factorization.

11540952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2120 (or 2113 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 11540952 is about 3397.1976686675. The cubic root of 11540952 is about 225.9854847492.

The spelling of 11540952 in words is "eleven million, five hundred forty thousand, nine hundred fifty-two".