11742564 has 48 divisors (see below), whose sum is σ = 29070720. Its totient is φ = 3682560.

The previous prime is 11742559. The next prime is 11742611. The reversal of 11742564 is 46524711.

11742564 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 an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13857 + ... + 14679.

It is an arithmetic number, because the mean of its divisors is an integer number (605640).

Almost surely, 2^11742564 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11742564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14535360).

11742564 is an abundant number, since it is smaller than the sum of its proper divisors (17328156).

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

11742564 is a wasteful number, since it uses less digits than its factorization.

11742564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 900 (or 898 counting only the distinct ones).

The product of its digits is 6720, while the sum is 30.

The square root of 11742564 is about 3426.7424764636. The cubic root of 11742564 is about 227.2938292358.

The spelling of 11742564 in words is "eleven million, seven hundred forty-two thousand, five hundred sixty-four".