90387648 has 84 divisors (see below), whose sum is σ = 279032208. Its totient is φ = 27809280.

The previous prime is 90387629. The next prime is 90387667. The reversal of 90387648 is 84678309.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (90387629) and next prime (90387667).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1453 + ... + 13523.

It is an arithmetic number, because the mean of its divisors is an integer number (3321812).

Almost surely, 2^90387648 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 90387648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139516104).

90387648 is an abundant number, since it is smaller than the sum of its proper divisors (188644560).

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

90387648 is a wasteful number, since it uses less digits than its factorization.

90387648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12102 (or 12089 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 90387648 is about 9507.2418713316. The cubic root of 90387648 is about 448.7829633118.

The spelling of 90387648 in words is "ninety million, three hundred eighty-seven thousand, six hundred forty-eight".