91260000 has 360 divisors, whose sum is σ = 360165960. Its totient is φ = 22464000.

The previous prime is 91259969. The next prime is 91260023. The reversal of 91260000 is 6219.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (360).

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 polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 7019994 + ... + 7020006.

It is an arithmetic number, because the mean of its divisors is an integer number (1000461).

Almost surely, 2^91260000 is an apocalyptic number.

91260000 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 91260000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180082980).

91260000 is an abundant number, since it is smaller than the sum of its proper divisors (268905960).

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

91260000 is a wasteful number, since it uses less digits than its factorization.

91260000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 23 counting only the distinct ones).

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

The square root of 91260000 is about 9553.0099968544. The cubic root of 91260000 is about 450.2221125731. Note that the first 3 decimals are identical.

Adding to 91260000 its reverse (6219), we get a palindrome (91266219).

The spelling of 91260000 in words is "ninety-one million, two hundred sixty thousand".