89744256 has 192 divisors, whose sum is σ = 305510400. Its totient is φ = 24744960.

The previous prime is 89744243. The next prime is 89744273. The reversal of 89744256 is 65244798.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

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, 249805 + ... + 250163.

It is an arithmetic number, because the mean of its divisors is an integer number (1591200).

Almost surely, 2^89744256 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 89744256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152755200).

89744256 is an abundant number, since it is smaller than the sum of its proper divisors (215766144).

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

89744256 is a wasteful number, since it uses less digits than its factorization.

89744256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 402 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 89744256 is about 9473.3444991724. The cubic root of 89744256 is about 447.7155932960.

It can be divided in two parts, 89744 and 256, that added together give a square (90000 = 300²).

The spelling of 89744256 in words is "eighty-nine million, seven hundred forty-four thousand, two hundred fifty-six".