11961040 has 160 divisors (see below), whose sum is σ = 35997696. Its totient is φ = 3594240.

The previous prime is 11961029. The next prime is 11961043. The reversal of 11961040 is 4016911.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11961043) 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, 225654 + ... + 225706.

Almost surely, 2^11961040 is an apocalyptic number.

11961040 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 11961040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17998848).

11961040 is an abundant number, since it is smaller than the sum of its proper divisors (24036656).

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

11961040 is a wasteful number, since it uses less digits than its factorization.

11961040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 22.

The square root of 11961040 is about 3458.4736517718. The cubic root of 11961040 is about 228.6948128487.

Adding to 11961040 its reverse (4016911), we get a palindrome (15977951).

The spelling of 11961040 in words is "eleven million, nine hundred sixty-one thousand, forty".