90464 has 24 divisors (see below), whose sum is σ = 195048. Its totient is φ = 40960.

The previous prime is 90439. The next prime is 90469. The reversal of 90464 is 46409.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90469) by changing a digit.

90464 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 224 + ... + 480.

It is an arithmetic number, because the mean of its divisors is an integer number (8127).

2⁹⁰⁴⁶⁴ 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 90464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97524).

90464 is an abundant number, since it is smaller than the sum of its proper divisors (104584).

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

90464 is a wasteful number, since it uses less digits than its factorization.

90464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 90464 is about 300.7723391537. The cubic root of 90464 is about 44.8909292642.

The spelling of 90464 in words is "ninety thousand, four hundred sixty-four".