90306160 has 80 divisors (see below), whose sum is σ = 241984512. Its totient is φ = 30700800.

The previous prime is 90306157. The next prime is 90306163. The reversal of 90306160 is 6160309.

It is an interprime number because it is at equal distance from previous prime (90306157) and next prime (90306163).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90306163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72745 + ... + 73975.

Almost surely, 2^90306160 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 90306160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120992256).

90306160 is an abundant number, since it is smaller than the sum of its proper divisors (151678352).

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

90306160 is a wasteful number, since it uses less digits than its factorization.

90306160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1382 (or 1376 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 25.

The square root of 90306160 is about 9502.9553297908. The cubic root of 90306160 is about 448.6480576312.

Adding to 90306160 its reverse (6160309), we get a palindrome (96466469).

The spelling of 90306160 in words is "ninety million, three hundred six thousand, one hundred sixty".