90961000 has 64 divisors (see below), whose sum is σ = 229254480. Its totient is φ = 33580800.

The previous prime is 90960979. The next prime is 90961019. The reversal of 90961000 is 16909.

It can be written as a sum of positive squares in 8 ways, for example, as 1052676 + 89908324 = 1026^2 + 9482^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 9502 + ... + 16498.

Almost surely, 2^90961000 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 90961000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114627240).

90961000 is an abundant number, since it is smaller than the sum of its proper divisors (138293480).

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

90961000 is a wasteful number, since it uses less digits than its factorization.

90961000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7031 (or 7017 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 25.

The square root of 90961000 is about 9537.3476396743. The cubic root of 90961000 is about 449.7298790395.

Adding to 90961000 its reverse (16909), we get a palindrome (90977909).

It can be divided in two parts, 90 and 961000, that multiplied together give a square (86490000 = 9300²).

The spelling of 90961000 in words is "ninety million, nine hundred sixty-one thousand".