90267912 has 128 divisors (see below), whose sum is σ = 288921600. Its totient is φ = 25579584.

The previous prime is 90267911. The next prime is 90267913. The reversal of 90267912 is 21976209.

It is an interprime number because it is at equal distance from previous prime (90267911) and next prime (90267913).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (90267911) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 343093 + ... + 343355.

It is an arithmetic number, because the mean of its divisors is an integer number (2257200).

Almost surely, 2^90267912 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 90267912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144460800).

90267912 is an abundant number, since it is smaller than the sum of its proper divisors (198653688).

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

90267912 is a wasteful number, since it uses less digits than its factorization.

90267912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 90267912 is about 9500.9426900703. The cubic root of 90267912 is about 448.5847090029.

The spelling of 90267912 in words is "ninety million, two hundred sixty-seven thousand, nine hundred twelve".