90338112 has 112 divisors (see below), whose sum is σ = 277246080. Its totient is φ = 28790784.

The previous prime is 90338111. The next prime is 90338117. The reversal of 90338112 is 21183309.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90338111) 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 15 ways as a sum of consecutive naturals, for example, 38608 + ... + 40880.

Almost surely, 2^90338112 is an apocalyptic number.

90338112 is a gapful number since it is divisible by the number (92) 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 90338112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138623040).

90338112 is an abundant number, since it is smaller than the sum of its proper divisors (186907968).

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

90338112 is a wasteful number, since it uses less digits than its factorization.

90338112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2317 (or 2301 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 90338112 is about 9504.6363423331. The cubic root of 90338112 is about 448.7009647359.

The spelling of 90338112 in words is "ninety million, three hundred thirty-eight thousand, one hundred twelve".