90382688 has 48 divisors (see below), whose sum is σ = 194893776. Its totient is φ = 40919040.

The previous prime is 90382681. The next prime is 90382717. The reversal of 90382688 is 88628309.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90382681) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 152120 + ... + 152712.

It is an arithmetic number, because the mean of its divisors is an integer number (4060287).

Almost surely, 2^90382688 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 90382688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97446888).

90382688 is an abundant number, since it is smaller than the sum of its proper divisors (104511088).

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

90382688 is a wasteful number, since it uses less digits than its factorization.

90382688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1047 (or 1039 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 44.

The square root of 90382688 is about 9506.9810139707. The cubic root of 90382688 is about 448.7747542100.

The spelling of 90382688 in words is "ninety million, three hundred eighty-two thousand, six hundred eighty-eight".