11293680 has 40 divisors (see below), whose sum is σ = 35011152. Its totient is φ = 3011584.

The previous prime is 11293679. The next prime is 11293693. The reversal of 11293680 is 8639211.

11293680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a plaindrome in base 13.

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, 23289 + ... + 23768.

Almost surely, 2^11293680 is an apocalyptic number.

11293680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11293680 is an abundant number, since it is smaller than the sum of its proper divisors (23717472).

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

11293680 is a wasteful number, since it uses less digits than its factorization.

11293680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47073 (or 47067 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 11293680 is about 3360.6070880125. The cubic root of 11293680 is about 224.3598594957.

The spelling of 11293680 in words is "eleven million, two hundred ninety-three thousand, six hundred eighty".