90345216 has 72 divisors (see below), whose sum is σ = 258974800. Its totient is φ = 27795456.

The previous prime is 90345197. The next prime is 90345217. The reversal of 90345216 is 61254309.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90345217) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5460 + ... + 14508.

Almost surely, 2^90345216 is an apocalyptic number.

90345216 is a gapful number since it is divisible by the number (96) 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 90345216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129487400).

90345216 is an abundant number, since it is smaller than the sum of its proper divisors (168629584).

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

90345216 is a wasteful number, since it uses less digits than its factorization.

90345216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9081 (or 9067 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 90345216 is about 9505.0100473382. The cubic root of 90345216 is about 448.7127260625.

The spelling of 90345216 in words is "ninety million, three hundred forty-five thousand, two hundred sixteen".