90293216 has 48 divisors (see below), whose sum is σ = 199783584. Its totient is φ = 39857664.

The previous prime is 90293213. The next prime is 90293219. The reversal of 90293216 is 61239209.

It is an interprime number because it is at equal distance from previous prime (90293213) and next prime (90293219).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90293213) 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, 4850 + ... + 14286.

It is an arithmetic number, because the mean of its divisors is an integer number (4162158).

Almost surely, 2^90293216 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 90293216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99891792).

90293216 is an abundant number, since it is smaller than the sum of its proper divisors (109490368).

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

90293216 is a wasteful number, since it uses less digits than its factorization.

90293216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9483 (or 9475 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 32.

The square root of 90293216 is about 9502.2742540931. The cubic root of 90293216 is about 448.6266210059.

It can be divided in two parts, 90293 and 216, that added together give a palindrome (90509).

The spelling of 90293216 in words is "ninety million, two hundred ninety-three thousand, two hundred sixteen".