90823320 has 192 divisors, whose sum is σ = 352235520. Its totient is φ = 19844352.

The previous prime is 90823307. The next prime is 90823321. The reversal of 90823320 is 2332809.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90823321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57177 + ... + 58743.

It is an arithmetic number, because the mean of its divisors is an integer number (1834560).

Almost surely, 2^90823320 is an apocalyptic number.

90823320 is a gapful number since it is divisible by the number (90) 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 90823320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176117760).

90823320 is an abundant number, since it is smaller than the sum of its proper divisors (261412200).

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

90823320 is a wasteful number, since it uses less digits than its factorization.

90823320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1614 (or 1607 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 90823320 is about 9530.1269666254. The cubic root of 90823320 is about 449.5028583879.

The spelling of 90823320 in words is "ninety million, eight hundred twenty-three thousand, three hundred twenty".