90822160 has 160 divisors (see below), whose sum is σ = 263233152. Its totient is φ = 28631040.

The previous prime is 90822139. The next prime is 90822187. The reversal of 90822160 is 6122809.

It is a happy number.

It is a super-3 number, since 3×90822160³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 194247 + ... + 194713.

Almost surely, 2^90822160 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 90822160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131616576).

90822160 is an abundant number, since it is smaller than the sum of its proper divisors (172410992).

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

90822160 is a wasteful number, since it uses less digits than its factorization.

90822160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 90822160 is about 9530.0661068011. The cubic root of 90822160 is about 449.5009446888.

Adding to 90822160 its reverse (6122809), we get a palindrome (96944969).

The spelling of 90822160 in words is "ninety million, eight hundred twenty-two thousand, one hundred sixty".