91530000 has 250 divisors, whose sum is σ = 333966534. Its totient is φ = 24192000.

The previous prime is 91529987. The next prime is 91530001. The reversal of 91530000 is 3519.

It can be written as a sum of positive squares in 5 ways, for example, as 65028096 + 26501904 = 8064^2 + 5148^2 .

It is a tau number, because it is divible by the number of its divisors (250).

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

It is not an unprimeable number, because it can be changed into a prime (91530001) 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 49 ways as a sum of consecutive naturals, for example, 809944 + ... + 810056.

Almost surely, 2^91530000 is an apocalyptic number.

91530000 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 91530000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166983267).

91530000 is an abundant number, since it is smaller than the sum of its proper divisors (242436534).

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

91530000 is a wasteful number, since it uses less digits than its factorization.

91530000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

The square root of 91530000 is about 9567.1312314612. The cubic root of 91530000 is about 450.6656814438.

Adding to 91530000 its reverse (3519), we get a palindrome (91533519).

The spelling of 91530000 in words is "ninety-one million, five hundred thirty thousand".