11577888 has 72 divisors (see below), whose sum is σ = 37634688. Its totient is φ = 3307392.

The previous prime is 11577883. The next prime is 11577889. The reversal of 11577888 is 88877511.

It is a tau number, because it is divible by the number of its divisors (72).

It is a plaindrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (11577883) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 856 + ... + 4887.

It is an arithmetic number, because the mean of its divisors is an integer number (522704).

Almost surely, 2^11577888 is an apocalyptic number.

11577888 is a gapful number since it is divisible by the number (18) 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 11577888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18817344).

11577888 is an abundant number, since it is smaller than the sum of its proper divisors (26056800).

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

11577888 is a wasteful number, since it uses less digits than its factorization.

11577888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5766 (or 5755 counting only the distinct ones).

The product of its digits is 125440, while the sum is 45.

The square root of 11577888 is about 3402.6295713756. The cubic root of 11577888 is about 226.2263115315.

It can be divided in two parts, 1157 and 7888, that added together give a triangular number (9045 = T₁₃₄).

The spelling of 11577888 in words is "eleven million, five hundred seventy-seven thousand, eight hundred eighty-eight".