90432160 has 96 divisors (see below), whose sum is σ = 262991232. Its totient is φ = 28615680.

The previous prime is 90432131. The next prime is 90432187. The reversal of 90432160 is 6123409.

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, 11455 + ... + 17665.

It is an arithmetic number, because the mean of its divisors is an integer number (2739492).

Almost surely, 2^90432160 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 90432160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131495616).

90432160 is an abundant number, since it is smaller than the sum of its proper divisors (172559072).

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

90432160 is a wasteful number, since it uses less digits than its factorization.

90432160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6246 (or 6238 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 90432160 is about 9509.5825355270. The cubic root of 90432160 is about 448.8566199432.

Adding to 90432160 its reverse (6123409), we get a palindrome (96555569).

The spelling of 90432160 in words is "ninety million, four hundred thirty-two thousand, one hundred sixty".