90381312 has 176 divisors, whose sum is σ = 306558720. Its totient is φ = 25767936.

The previous prime is 90381311. The next prime is 90381323. The reversal of 90381312 is 21318309.

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 (90381311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 193303 + ... + 193769.

Almost surely, 2^90381312 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 90381312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153279360).

90381312 is an abundant number, since it is smaller than the sum of its proper divisors (216177408).

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

90381312 is a wasteful number, since it uses less digits than its factorization.

90381312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 479 counting only the distinct ones).

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

The square root of 90381312 is about 9506.9086458217. The cubic root of 90381312 is about 448.7724767931.

It can be divided in two parts, 903 and 81312, that added together give a triangular number (82215 = T₄₀₅).

The spelling of 90381312 in words is "ninety million, three hundred eighty-one thousand, three hundred twelve".