90287064 has 96 divisors (see below), whose sum is σ = 280800000. Its totient is φ = 25672896.

The previous prime is 90287053. The next prime is 90287077. The reversal of 90287064 is 46078209.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 180687 + ... + 181185.

It is an arithmetic number, because the mean of its divisors is an integer number (2925000).

Almost surely, 2^90287064 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 90287064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140400000).

90287064 is an abundant number, since it is smaller than the sum of its proper divisors (190512936).

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

90287064 is a wasteful number, since it uses less digits than its factorization.

90287064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 877 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 90287064 is about 9501.9505366004. The cubic root of 90287064 is about 448.6164319287.

The spelling of 90287064 in words is "ninety million, two hundred eighty-seven thousand, sixty-four".