90605610 has 48 divisors (see below), whose sum is σ = 237459456. Its totient is φ = 23968224.

The previous prime is 90605609. The next prime is 90605611. The reversal of 90605610 is 1650609.

It is an interprime number because it is at equal distance from previous prime (90605609) and next prime (90605611).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (90605611) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 7467 + ... + 15393.

It is an arithmetic number, because the mean of its divisors is an integer number (4947072).

Almost surely, 2^90605610 is an apocalyptic number.

90605610 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 90605610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118729728).

90605610 is an abundant number, since it is smaller than the sum of its proper divisors (146853846).

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

90605610 is a wasteful number, since it uses less digits than its factorization.

90605610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8067 (or 8064 counting only the distinct ones).

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

The square root of 90605610 is about 9518.6979151563. The cubic root of 90605610 is about 449.1434075146.

The spelling of 90605610 in words is "ninety million, six hundred five thousand, six hundred ten".