90312096 has 144 divisors (see below), whose sum is σ = 280615104. Its totient is φ = 25353216.

The previous prime is 90312049. The next prime is 90312107. The reversal of 90312096 is 69021309.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 343261 + ... + 343523.

It is an arithmetic number, because the mean of its divisors is an integer number (1948716).

Almost surely, 2^90312096 is an apocalyptic number.

90312096 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 90312096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140307552).

90312096 is an abundant number, since it is smaller than the sum of its proper divisors (190303008).

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

90312096 is a wasteful number, since it uses less digits than its factorization.

90312096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 30.

The square root of 90312096 is about 9503.2676485512. The cubic root of 90312096 is about 448.6578875864.

The spelling of 90312096 in words is "ninety million, three hundred twelve thousand, ninety-six".