11950080 has 96 divisors (see below), whose sum is σ = 38329200. Its totient is φ = 3178496.

The previous prime is 11950073. The next prime is 11950111. The reversal of 11950080 is 8005911.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11950080.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30526 + ... + 30914.

Almost surely, 2^11950080 is an apocalyptic number.

11950080 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 11950080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19164600).

11950080 is an abundant number, since it is smaller than the sum of its proper divisors (26379120).

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

11950080 is an equidigital number, since it uses as much as digits as its factorization.

11950080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 24.

The square root of 11950080 is about 3456.8887746064. Note that the first 3 decimals coincide. The cubic root of 11950080 is about 228.6249398523.

Adding to 11950080 its reverse (8005911), we get a palindrome (19955991).

The spelling of 11950080 in words is "eleven million, nine hundred fifty thousand, eighty".