90359808 has 192 divisors, whose sum is σ = 301916160. Its totient is φ = 23347200.

The previous prime is 90359791. The next prime is 90359827. The reversal of 90359808 is 80895309.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×90359808³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 90359808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 472993 + ... + 473183.

It is an arithmetic number, because the mean of its divisors is an integer number (1572480).

Almost surely, 2^90359808 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 90359808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150958080).

90359808 is an abundant number, since it is smaller than the sum of its proper divisors (211556352).

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

90359808 is a wasteful number, since it uses less digits than its factorization.

90359808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 90359808 is about 9505.7776115371. Note that the first 3 decimals coincide. The cubic root of 90359808 is about 448.7368825292.

The spelling of 90359808 in words is "ninety million, three hundred fifty-nine thousand, eight hundred eight".