90610506 has 72 divisors (see below), whose sum is σ = 240439680. Its totient is φ = 24521616.

The previous prime is 90610477. The next prime is 90610517. The reversal of 90610506 is 60501609.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 90610506.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14055 + ... + 19461.

It is an arithmetic number, because the mean of its divisors is an integer number (3339440).

Almost surely, 2^90610506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90610506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120219840).

90610506 is an abundant number, since it is smaller than the sum of its proper divisors (149829174).

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

90610506 is a wasteful number, since it uses less digits than its factorization.

90610506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5448 (or 5438 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 90610506 is about 9518.9550897144. The cubic root of 90610506 is about 449.1514973982.

The spelling of 90610506 in words is "ninety million, six hundred ten thousand, five hundred six".