89487360 has 144 divisors (see below), whose sum is σ = 310466520. Its totient is φ = 23838720.

The previous prime is 89487353. The next prime is 89487361. The reversal of 89487360 is 6378498.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89487361) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91675 + ... + 92645.

Almost surely, 2^89487360 is an apocalyptic number.

89487360 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89487360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155233260).

89487360 is an abundant number, since it is smaller than the sum of its proper divisors (220979160).

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

89487360 is a wasteful number, since it uses less digits than its factorization.

89487360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1004 (or 981 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 89487360 is about 9459.7758958656. The cubic root of 89487360 is about 447.2879846255.

The spelling of 89487360 in words is "eighty-nine million, four hundred eighty-seven thousand, three hundred sixty".