11651280 has 80 divisors (see below), whose sum is σ = 36991680. Its totient is φ = 3032064.

The previous prime is 11651279. The next prime is 11651281. The reversal of 11651280 is 8215611.

It is an interprime number because it is at equal distance from previous prime (11651279) and next prime (11651281).

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

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 11651280.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11651281) 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, 9756 + ... + 10884.

It is an arithmetic number, because the mean of its divisors is an integer number (462396).

Almost surely, 2^11651280 is an apocalyptic number.

11651280 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 11651280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18495840).

11651280 is an abundant number, since it is smaller than the sum of its proper divisors (25340400).

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

11651280 is a wasteful number, since it uses less digits than its factorization.

11651280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1188 (or 1182 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 24.

The square root of 11651280 is about 3413.3971348204. The cubic root of 11651280 is about 226.7033197167.

Adding to 11651280 its reverse (8215611), we get a palindrome (19866891).

The spelling of 11651280 in words is "eleven million, six hundred fifty-one thousand, two hundred eighty".