90800160 has 192 divisors, whose sum is σ = 323326080. Its totient is φ = 21217280.

The previous prime is 90800081. The next prime is 90800167. The reversal of 90800160 is 6100809.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 90800160.

It is not an unprimeable number, because it can be changed into a prime (90800167) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 152824 + ... + 153416.

It is an arithmetic number, because the mean of its divisors is an integer number (1683990).

Almost surely, 2^90800160 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 90800160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161663040).

90800160 is an abundant number, since it is smaller than the sum of its proper divisors (232525920).

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

90800160 is a wasteful number, since it uses less digits than its factorization.

90800160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 90800160 is about 9528.9117951632. The cubic root of 90800160 is about 449.4646473087.

Adding to 90800160 its reverse (6100809), we get a palindrome (96900969).

The spelling of 90800160 in words is "ninety million, eight hundred thousand, one hundred sixty".