90618528 has 384 divisors, whose sum is σ = 341397504. Its totient is φ = 20275200.

The previous prime is 90618511. The next prime is 90618529. The reversal of 90618528 is 82581609.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90618529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2210188 + ... + 2210228.

It is an arithmetic number, because the mean of its divisors is an integer number (889056).

Almost surely, 2^90618528 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 90618528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170698752).

90618528 is an abundant number, since it is smaller than the sum of its proper divisors (250778976).

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

90618528 is a wasteful number, since it uses less digits than its factorization.

90618528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The square root of 90618528 is about 9519.3764501673. The cubic root of 90618528 is about 449.1647518839.

The spelling of 90618528 in words is "ninety million, six hundred eighteen thousand, five hundred twenty-eight".