90339414 has 64 divisors (see below), whose sum is σ = 211057920. Its totient is φ = 25488000.

The previous prime is 90339391. The next prime is 90339419. The reversal of 90339414 is 41493309.

It is a super-2 number, since 2×90339414² = 16322419443726792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90339419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75904 + ... + 77084.

It is an arithmetic number, because the mean of its divisors is an integer number (3297780).

Almost surely, 2^90339414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90339414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105528960).

90339414 is an abundant number, since it is smaller than the sum of its proper divisors (120718506).

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

90339414 is a wasteful number, since it uses less digits than its factorization.

90339414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1277.

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 90339414 is about 9504.7048349752. The cubic root of 90339414 is about 448.7031203630.

The spelling of 90339414 in words is "ninety million, three hundred thirty-nine thousand, four hundred fourteen".