11958640 has 40 divisors (see below), whose sum is σ = 28154448. Its totient is φ = 4723200.

The previous prime is 11958637. The next prime is 11958671. The reversal of 11958640 is 4685911.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 11958596 and 11958605.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5740 + ... + 7540.

Almost surely, 2^11958640 is an apocalyptic number.

11958640 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 11958640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14077224).

11958640 is an abundant number, since it is smaller than the sum of its proper divisors (16195808).

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

11958640 is a wasteful number, since it uses less digits than its factorization.

11958640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1897 (or 1891 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 34.

The square root of 11958640 is about 3458.1266604912. The cubic root of 11958640 is about 228.6795158437.

The spelling of 11958640 in words is "eleven million, nine hundred fifty-eight thousand, six hundred forty".