11057640 has 64 divisors (see below), whose sum is σ = 36192960. Its totient is φ = 2680320.

The previous prime is 11057623. The next prime is 11057647. The reversal of 11057640 is 4675011.

11057640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 11057640.

It is not an unprimeable number, because it can be changed into a prime (11057647) 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, 2869 + ... + 5508.

It is an arithmetic number, because the mean of its divisors is an integer number (565515).

Almost surely, 2^11057640 is an apocalyptic number.

11057640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11057640 is an abundant number, since it is smaller than the sum of its proper divisors (25135320).

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

11057640 is a wasteful number, since it uses less digits than its factorization.

11057640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8402 (or 8398 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 11057640 is about 3325.3029937135. The cubic root of 11057640 is about 222.7857877127.

The spelling of 11057640 in words is "eleven million, fifty-seven thousand, six hundred forty".