11541640 has 64 divisors (see below), whose sum is σ = 30015360. Its totient is φ = 3947520.

The previous prime is 11541631. The next prime is 11541659. The reversal of 11541640 is 4614511.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6709 + ... + 8251.

It is an arithmetic number, because the mean of its divisors is an integer number (468990).

Almost surely, 2^11541640 is an apocalyptic number.

11541640 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 11541640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15007680).

11541640 is an abundant number, since it is smaller than the sum of its proper divisors (18473720).

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

11541640 is a wasteful number, since it uses less digits than its factorization.

11541640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1582 (or 1578 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 11541640 is about 3397.2989270890. The cubic root of 11541640 is about 225.9899752778.

The spelling of 11541640 in words is "eleven million, five hundred forty-one thousand, six hundred forty".