11957440 has 112 divisors (see below), whose sum is σ = 32186880. Its totient is φ = 4193280.

The previous prime is 11957381. The next prime is 11957453. The reversal of 11957440 is 4475911.

11957440 = 439² + 440² + ... + 493².

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151321 + ... + 151399.

Almost surely, 2^11957440 is an apocalyptic number.

11957440 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 11957440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16093440).

11957440 is an abundant number, since it is smaller than the sum of its proper divisors (20229440).

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

11957440 is a wasteful number, since it uses less digits than its factorization.

11957440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 31.

The square root of 11957440 is about 3457.9531517937. The cubic root of 11957440 is about 228.6718665737.

The spelling of 11957440 in words is "eleven million, nine hundred fifty-seven thousand, four hundred forty".