89431776 has 288 divisors, whose sum is σ = 317011968. Its totient is φ = 24261120.

The previous prime is 89431757. The next prime is 89431799. The reversal of 89431776 is 67713498.

It is a tau number, because it is divible by the number of its divisors (288).

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

Its product of digits (254016) is a multiple of the sum of its prime divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1687366 + ... + 1687418.

It is an arithmetic number, because the mean of its divisors is an integer number (1100736).

Almost surely, 2^89431776 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 89431776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158505984).

89431776 is an abundant number, since it is smaller than the sum of its proper divisors (227580192).

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

89431776 is a wasteful number, since it uses less digits than its factorization.

89431776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 96 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 89431776 is about 9456.8375263615. The cubic root of 89431776 is about 447.1953562561.

The spelling of 89431776 in words is "eighty-nine million, four hundred thirty-one thousand, seven hundred seventy-six".