11007480 has 128 divisors (see below), whose sum is σ = 37324800. Its totient is φ = 2572800.

The previous prime is 11007473. The next prime is 11007481. The reversal of 11007480 is 8470011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11007481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40786 + ... + 41054.

It is an arithmetic number, because the mean of its divisors is an integer number (291600).

Almost surely, 2^11007480 is an apocalyptic number.

11007480 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 11007480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18662400).

11007480 is an abundant number, since it is smaller than the sum of its proper divisors (26317320).

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

11007480 is a wasteful number, since it uses less digits than its factorization.

11007480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 21.

The square root of 11007480 is about 3317.7522511484. The cubic root of 11007480 is about 222.4484078503.

Adding to 11007480 its reverse (8470011), we get a palindrome (19477491).

The spelling of 11007480 in words is "eleven million, seven thousand, four hundred eighty".