11958408 has 128 divisors (see below), whose sum is σ = 41472000. Its totient is φ = 3101760.

The previous prime is 11958407. The next prime is 11958421. The reversal of 11958408 is 80485911.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (11958407) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 16273 + ... + 16991.

It is an arithmetic number, because the mean of its divisors is an integer number (324000).

Almost surely, 2^11958408 is an apocalyptic number.

11958408 is a gapful number since it is divisible by the number (18) 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 11958408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20736000).

11958408 is an abundant number, since it is smaller than the sum of its proper divisors (29513592).

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

11958408 is a wasteful number, since it uses less digits than its factorization.

11958408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 11958408 is about 3458.0931161552. The cubic root of 11958408 is about 228.6780370248.

The spelling of 11958408 in words is "eleven million, nine hundred fifty-eight thousand, four hundred eight".