90542160 has 60 divisors (see below), whose sum is σ = 304073172. Its totient is φ = 24144384.

The previous prime is 90542149. The next prime is 90542161. The reversal of 90542160 is 6124509.

It can be written as a sum of positive squares in 2 ways, for example, as 62916624 + 27625536 = 7932^2 + 5256^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90542161) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62157 + ... + 63596.

Almost surely, 2^90542160 is an apocalyptic number.

90542160 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

90542160 is an abundant number, since it is smaller than the sum of its proper divisors (213531012).

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

90542160 is a wasteful number, since it uses less digits than its factorization.

90542160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125772 (or 125763 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 90542160 is about 9515.3644176143. The cubic root of 90542160 is about 449.0385398208.

Adding to 90542160 its reverse (6124509), we get a palindrome (96666669).

The spelling of 90542160 in words is "ninety million, five hundred forty-two thousand, one hundred sixty".