90080160 has 96 divisors (see below), whose sum is σ = 288090432. Its totient is φ = 23654400.

The previous prime is 90080147. The next prime is 90080171. The reversal of 90080160 is 6108009.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×90080160² = 16228870451251200, which contains 22 as substring.

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 90080160.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30760 + ... + 33560.

It is an arithmetic number, because the mean of its divisors is an integer number (3000942).

Almost surely, 2^90080160 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 90080160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144045216).

90080160 is an abundant number, since it is smaller than the sum of its proper divisors (198010272).

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

90080160 is a wasteful number, since it uses less digits than its factorization.

90080160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2886 (or 2878 counting only the distinct ones).

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

The square root of 90080160 is about 9491.0568431550. The cubic root of 90080160 is about 448.2734831024.

Adding to 90080160 its reverse (6108009), we get a palindrome (96188169).

The spelling of 90080160 in words is "ninety million, eighty thousand, one hundred sixty".