89381376 has 240 divisors, whose sum is σ = 314069184. Its totient is φ = 23887872.

The previous prime is 89381371. The next prime is 89381387. The reversal of 89381376 is 67318398.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (217728) is a multiple of the sum of its prime divisors (192).

It is not an unprimeable number, because it can be changed into a prime (89381371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 548271 + ... + 548433.

Almost surely, 2^89381376 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 89381376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157034592).

89381376 is an abundant number, since it is smaller than the sum of its proper divisors (224687808).

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

89381376 is a wasteful number, since it uses less digits than its factorization.

89381376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 192 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 89381376 is about 9454.1724122210. The cubic root of 89381376 is about 447.1113336181. Note that the first 3 decimals are identical.

The spelling of 89381376 in words is "eighty-nine million, three hundred eighty-one thousand, three hundred seventy-six".