91826000 has 120 divisors (see below), whose sum is σ = 258561576. Its totient is φ = 31449600.

The previous prime is 91825997. The next prime is 91826039. The reversal of 91826000 is 62819.

It can be written as a sum of positive squares in 4 ways, for example, as 20322064 + 71503936 = 4508^2 + 8456^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97532 + ... + 98468.

Almost surely, 2^91826000 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 91826000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129280788).

91826000 is an abundant number, since it is smaller than the sum of its proper divisors (166735576).

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

91826000 is a wasteful number, since it uses less digits than its factorization.

91826000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 974 (or 951 counting only the distinct ones).

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

The square root of 91826000 is about 9582.5883768427. The cubic root of 91826000 is about 451.1509631416.

Adding to 91826000 its reverse (62819), we get a palindrome (91888819).

The spelling of 91826000 in words is "ninety-one million, eight hundred twenty-six thousand".