90610208 has 48 divisors (see below), whose sum is σ = 193616640. Its totient is φ = 41492736.

The previous prime is 90610199. The next prime is 90610213. The reversal of 90610208 is 80201609.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57041 + ... + 58607.

It is an arithmetic number, because the mean of its divisors is an integer number (4033680).

Almost surely, 2^90610208 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 90610208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96808320).

90610208 is an abundant number, since it is smaller than the sum of its proper divisors (103006432).

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

90610208 is a wasteful number, since it uses less digits than its factorization.

90610208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1729 (or 1721 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 90610208 is about 9518.9394367230. The cubic root of 90610208 is about 449.1510050075.

The spelling of 90610208 in words is "ninety million, six hundred ten thousand, two hundred eight".