11752080 has 80 divisors (see below), whose sum is σ = 38033280. Its totient is φ = 2996224.

The previous prime is 11752019. The next prime is 11752087. The reversal of 11752080 is 8025711.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×11752080² = 276222768652800, which contains 22 as substring.

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 11752080.

It is not an unprimeable number, because it can be changed into a prime (11752087) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4456 + ... + 6584.

It is an arithmetic number, because the mean of its divisors is an integer number (475416).

Almost surely, 2^11752080 is an apocalyptic number.

11752080 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 11752080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19016640).

11752080 is an abundant number, since it is smaller than the sum of its proper divisors (26281200).

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

11752080 is a wasteful number, since it uses less digits than its factorization.

11752080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2168 (or 2162 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 24.

The square root of 11752080 is about 3428.1306859570. The cubic root of 11752080 is about 227.3552111757.

Adding to 11752080 its reverse (8025711), we get a palindrome (19777791).

The spelling of 11752080 in words is "eleven million, seven hundred fifty-two thousand, eighty".