91266000 has 320 divisors, whose sum is σ = 350977536. Its totient is φ = 19968000.

The previous prime is 91265983. The next prime is 91266017. The reversal of 91266000 is 66219.

It is an interprime number because it is at equal distance from previous prime (91265983) and next prime (91266017).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 1721974 + ... + 1722026.

Almost surely, 2^91266000 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 91266000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175488768).

91266000 is an abundant number, since it is smaller than the sum of its proper divisors (259711536).

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

91266000 is a wasteful number, since it uses less digits than its factorization.

91266000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 91266000 is about 9553.3240288394. The cubic root of 91266000 is about 450.2319791575.

The spelling of 91266000 in words is "ninety-one million, two hundred sixty-six thousand".