89280640 has 32 divisors (see below), whose sum is σ = 213438060. Its totient is φ = 35712000.

The previous prime is 89280623. The next prime is 89280721. The reversal of 89280640 is 4608298.

It can be written as a sum of positive squares in 2 ways, for example, as 86266944 + 3013696 = 9288^2 + 1736^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 89280640.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 69111 + ... + 70390.

Almost surely, 2^89280640 is an apocalyptic number.

89280640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

89280640 is an abundant number, since it is smaller than the sum of its proper divisors (124157420).

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

89280640 is a wasteful number, since it uses less digits than its factorization.

89280640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139520 (or 139508 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The square root of 89280640 is about 9448.8433154540. The cubic root of 89280640 is about 446.9433003336.

The spelling of 89280640 in words is "eighty-nine million, two hundred eighty thousand, six hundred forty".