90661000 has 64 divisors (see below), whose sum is σ = 224668080. Its totient is φ = 34124800.

The previous prime is 90660991. The next prime is 90661001. The reversal of 90661000 is 16609.

It can be written as a sum of positive squares in 8 ways, for example, as 36990724 + 53670276 = 6082^2 + 7326^2 .

It is not an unprimeable number, because it can be changed into a prime (90661001) 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 15 ways as a sum of consecutive naturals, for example, 14334 + ... + 19666.

Almost surely, 2^90661000 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 90661000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112334040).

90661000 is an abundant number, since it is smaller than the sum of its proper divisors (134007080).

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

90661000 is a wasteful number, since it uses less digits than its factorization.

90661000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5371 (or 5357 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

The square root of 90661000 is about 9521.6070072231. The cubic root of 90661000 is about 449.2349139363.

Adding to 90661000 its reverse (16609), we get a palindrome (90677609).

The spelling of 90661000 in words is "ninety million, six hundred sixty-one thousand".