89280576 has 336 divisors, whose sum is σ = 335117440. Its totient is φ = 22809600.

The previous prime is 89280551. The next prime is 89280623. The reversal of 89280576 is 67508298.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1463586 + ... + 1463646.

Almost surely, 2^89280576 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 89280576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167558720).

89280576 is an abundant number, since it is smaller than the sum of its proper divisors (245836864).

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

89280576 is a wasteful number, since it uses less digits than its factorization.

89280576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 89280576 is about 9448.8399287955. The cubic root of 89280576 is about 446.9431935378.

The spelling of 89280576 in words is "eighty-nine million, two hundred eighty thousand, five hundred seventy-six".