91266480 has 320 divisors, whose sum is σ = 342835200. Its totient is φ = 22256640.

The previous prime is 91266473. The next prime is 91266491. The reversal of 91266480 is 8466219.

91266480 is a `hidden beast` number, since 9 + 1 + 2 + 6 + 648 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 63 ways as a sum of consecutive naturals, for example, 1941817 + ... + 1941863.

It is an arithmetic number, because the mean of its divisors is an integer number (1071360).

Almost surely, 2^91266480 is an apocalyptic number.

91266480 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 91266480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171417600).

91266480 is an abundant number, since it is smaller than the sum of its proper divisors (251568720).

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

91266480 is a wasteful number, since it uses less digits than its factorization.

91266480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 91266480 is about 9553.3491509522. The cubic root of 91266480 is about 450.2327684656.

The spelling of 91266480 in words is "ninety-one million, two hundred sixty-six thousand, four hundred eighty".