11589408 has 36 divisors (see below), whose sum is σ = 32958198. Its totient is φ = 3863040.

The previous prime is 11589397. The next prime is 11589437. The reversal of 11589408 is 80498511.

It can be written as a sum of positive squares in only one way, i.e., 11370384 + 219024 = 3372^2 + 468^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 19833 + ... + 20408.

Almost surely, 2^11589408 is an apocalyptic number.

11589408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11589408 is an abundant number, since it is smaller than the sum of its proper divisors (21368790).

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

11589408 is a wasteful number, since it uses less digits than its factorization.

11589408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40257 (or 40246 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 11589408 is about 3404.3219589222. The cubic root of 11589408 is about 226.3013183957.

The spelling of 11589408 in words is "eleven million, five hundred eighty-nine thousand, four hundred eight".