90659040 has 96 divisors (see below), whose sum is σ = 289941120. Its totient is φ = 23806464.

The previous prime is 90659029. The next prime is 90659069. The reversal of 90659040 is 4095609.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 90658992 and 90659010.

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 15 ways as a sum of consecutive naturals, for example, 30751 + ... + 33569.

It is an arithmetic number, because the mean of its divisors is an integer number (3020220).

Almost surely, 2^90659040 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 90659040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144970560).

90659040 is an abundant number, since it is smaller than the sum of its proper divisors (199282080).

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

90659040 is a wasteful number, since it uses less digits than its factorization.

90659040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2904 (or 2896 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 90659040 is about 9521.5040828642. The cubic root of 90659040 is about 449.2316765767.

The spelling of 90659040 in words is "ninety million, six hundred fifty-nine thousand, forty".