89565408 has 72 divisors (see below), whose sum is σ = 255783528. Its totient is φ = 29728512.

The previous prime is 89565407. The next prime is 89565451. The reversal of 89565408 is 80456598.

89565408 is a `hidden beast` number, since 89 + 565 + 4 + 0 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89565407) 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, 87910 + ... + 88922.

It is an arithmetic number, because the mean of its divisors is an integer number (3552549).

Almost surely, 2^89565408 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 89565408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127891764).

89565408 is an abundant number, since it is smaller than the sum of its proper divisors (166218120).

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

89565408 is a wasteful number, since it uses less digits than its factorization.

89565408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1336 (or 1325 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 89565408 is about 9463.9002530669. The cubic root of 89565408 is about 447.4179835752.

The spelling of 89565408 in words is "eighty-nine million, five hundred sixty-five thousand, four hundred eight".