90020160 has 280 divisors, whose sum is σ = 336352896. Its totient is φ = 22809600.

The previous prime is 90020159. The next prime is 90020167. The reversal of 90020160 is 6102009.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90020167) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 596085 + ... + 596235.

Almost surely, 2^90020160 is an apocalyptic number.

90020160 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 90020160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168176448).

90020160 is an abundant number, since it is smaller than the sum of its proper divisors (246332736).

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

90020160 is a wasteful number, since it uses less digits than its factorization.

90020160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 90020160 is about 9487.8954463042. The cubic root of 90020160 is about 448.1739333130.

Adding to 90020160 its reverse (6102009), we get a palindrome (96122169).

The spelling of 90020160 in words is "ninety million, twenty thousand, one hundred sixty".