11357040 has 80 divisors (see below), whose sum is σ = 35712000. Its totient is φ = 2985216.

The previous prime is 11357029. The next prime is 11357053. The reversal of 11357040 is 4075311.

11357040 is digitally balanced in base 2 and base 4, because in such bases 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 (80).

It is a junction number, because it is equal to n+sod(n) for n = 11356998 and 11357016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18661 + ... + 19259.

It is an arithmetic number, because the mean of its divisors is an integer number (446400).

Almost surely, 2^11357040 is an apocalyptic number.

11357040 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 11357040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17856000).

11357040 is an abundant number, since it is smaller than the sum of its proper divisors (24354960).

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

11357040 is a wasteful number, since it uses less digits than its factorization.

11357040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 11357040 is about 3370.0207714493. The cubic root of 11357040 is about 224.7786465029.

The spelling of 11357040 in words is "eleven million, three hundred fifty-seven thousand, forty".