90453216 has 192 divisors, whose sum is σ = 287884800. Its totient is φ = 24837120.

The previous prime is 90453211. The next prime is 90453217. The reversal of 90453216 is 61235409.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90453211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1350015 + ... + 1350081.

It is an arithmetic number, because the mean of its divisors is an integer number (1499400).

Almost surely, 2^90453216 is an apocalyptic number.

90453216 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 90453216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143942400).

90453216 is an abundant number, since it is smaller than the sum of its proper divisors (197431584).

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

90453216 is a wasteful number, since it uses less digits than its factorization.

90453216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 120 counting only the distinct ones).

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

The square root of 90453216 is about 9510.6895649054. The cubic root of 90453216 is about 448.8914541275.

The spelling of 90453216 in words is "ninety million, four hundred fifty-three thousand, two hundred sixteen".