91961766 has 48 divisors (see below), whose sum is σ = 218247120. Its totient is φ = 27812160.

The previous prime is 91961743. The next prime is 91961777. The reversal of 91961766 is 66716919.

It is a super-3 number, since 3×91961766³ (a number of 25 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10476 + ... + 17136.

It is an arithmetic number, because the mean of its divisors is an integer number (4546815).

Almost surely, 2^91961766 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91961766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109123560).

91961766 is an abundant number, since it is smaller than the sum of its proper divisors (126285354).

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

91961766 is a wasteful number, since it uses less digits than its factorization.

91961766 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6741 (or 6738 counting only the distinct ones).

The product of its digits is 122472, while the sum is 45.

The square root of 91961766 is about 9589.6697544806. The cubic root of 91961766 is about 451.3731979466.

The spelling of 91961766 in words is "ninety-one million, nine hundred sixty-one thousand, seven hundred sixty-six".