11577006 has 96 divisors (see below), whose sum is σ = 30820608. Its totient is φ = 3188160.

The previous prime is 11577001. The next prime is 11577011. The reversal of 11577006 is 60077511.

11577006 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11577001) and next prime (11577011).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11577001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 139441 + ... + 139523.

It is an arithmetic number, because the mean of its divisors is an integer number (321048).

Almost surely, 2^11577006 is an apocalyptic number.

It is a pronic number, being equal to 3402×3403.

It is a practical number, because each smaller number is the sum of distinct divisors of 11577006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15410304).

11577006 is an abundant number, since it is smaller than the sum of its proper divisors (19243602).

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

11577006 is an equidigital number, since it uses as much as digits as its factorization.

11577006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 27.

The square root of 11577006 is about 3402.4999632623. The cubic root of 11577006 is about 226.2205667683.

The spelling of 11577006 in words is "eleven million, five hundred seventy-seven thousand, six".