90645984 has 288 divisors, whose sum is σ = 317011968. Its totient is φ = 24192000.

The previous prime is 90645949. The next prime is 90646009. The reversal of 90645984 is 48954609.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1276669 + ... + 1276739.

It is an arithmetic number, because the mean of its divisors is an integer number (1100736).

Almost surely, 2^90645984 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 90645984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158505984).

90645984 is an abundant number, since it is smaller than the sum of its proper divisors (226365984).

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

90645984 is a wasteful number, since it uses less digits than its factorization.

90645984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 90645984 is about 9520.8184522130. The cubic root of 90645984 is about 449.2101106070.

The spelling of 90645984 in words is "ninety million, six hundred forty-five thousand, nine hundred eighty-four".