11073680 has 40 divisors (see below), whose sum is σ = 25947000. Its totient is φ = 4395008.

The previous prime is 11073677. The next prime is 11073707. The reversal of 11073680 is 8637011.

It can be written as a sum of positive squares in 4 ways, for example, as 524176 + 10549504 = 724^2 + 3248^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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, 11456 + ... + 12384.

It is an arithmetic number, because the mean of its divisors is an integer number (648675).

Almost surely, 2^11073680 is an apocalyptic number.

11073680 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 11073680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12973500).

11073680 is an abundant number, since it is smaller than the sum of its proper divisors (14873320).

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

11073680 is a wasteful number, since it uses less digits than its factorization.

11073680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1091 (or 1085 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 11073680 is about 3327.7139300126. The cubic root of 11073680 is about 222.8934585945.

The spelling of 11073680 in words is "eleven million, seventy-three thousand, six hundred eighty".