90500382 has 64 divisors (see below), whose sum is σ = 241958400. Its totient is φ = 24494400.

The previous prime is 90500381. The next prime is 90500429. The reversal of 90500382 is 28300509.

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 (90500381) 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, 882 + ... + 13482.

It is an arithmetic number, because the mean of its divisors is an integer number (3780600).

Almost surely, 2^90500382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90500382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120979200).

90500382 is an abundant number, since it is smaller than the sum of its proper divisors (151458018).

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

90500382 is a wasteful number, since it uses less digits than its factorization.

90500382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12638 (or 12632 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 90500382 is about 9513.1688726733. The cubic root of 90500382 is about 448.9694640139.

The spelling of 90500382 in words is "ninety million, five hundred thousand, three hundred eighty-two".