91026000 has 240 divisors, whose sum is σ = 343259280. Its totient is φ = 22348800.

The previous prime is 91025929. The next prime is 91026011. The reversal of 91026000 is 62019.

It can be written as a sum of positive squares in 8 ways, for example, as 59351616 + 31674384 = 7704^2 + 5628^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 47 ways as a sum of consecutive naturals, for example, 233806 + ... + 234194.

It is an arithmetic number, because the mean of its divisors is an integer number (1430247).

Almost surely, 2^91026000 is an apocalyptic number.

91026000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91026000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171629640).

91026000 is an abundant number, since it is smaller than the sum of its proper divisors (252233280).

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

91026000 is a wasteful number, since it uses less digits than its factorization.

91026000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 91026000 is about 9540.7546871304. The cubic root of 91026000 is about 449.8369779860.

Adding to 91026000 its reverse (62019), we get a palindrome (91088019).

The spelling of 91026000 in words is "ninety-one million, twenty-six thousand".