90064 has 20 divisors (see below), whose sum is σ = 188356. Its totient is φ = 41472.

The previous prime is 90059. The next prime is 90067. The reversal of 90064 is 46009.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 11664 + 78400 = 108^2 + 280^2 .

It is a super-2 number, since 2×90064² = 16223048192, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90067) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9 + ... + 424.

2⁹⁰⁰⁶⁴ 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 90064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94178).

90064 is an abundant number, since it is smaller than the sum of its proper divisors (98292).

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

90064 is a wasteful number, since it uses less digits than its factorization.

90064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 90064 is about 300.1066477104. The cubic root of 90064 is about 44.8246675376.

It can be divided in two parts, 900 and 64, that multiplied together give a square (57600 = 240²).

The spelling of 90064 in words is "ninety thousand, sixty-four".