91267968 has 256 divisors, whose sum is σ = 296110080. Its totient is φ = 24576000.

The previous prime is 91267919. The next prime is 91267997. The reversal of 91267968 is 86976219.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2226028 + ... + 2226068.

It is an arithmetic number, because the mean of its divisors is an integer number (1156680).

Almost surely, 2^91267968 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 91267968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148055040).

91267968 is an abundant number, since it is smaller than the sum of its proper divisors (204842112).

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

91267968 is a wasteful number, since it uses less digits than its factorization.

91267968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 105 counting only the distinct ones).

The product of its digits is 326592, while the sum is 48.

The square root of 91267968 is about 9553.4270290823. The cubic root of 91267968 is about 450.2352153030.

It can be divided in two parts, 91267 and 968, that added together give a triangular number (92235 = T₄₂₉).

The spelling of 91267968 in words is "ninety-one million, two hundred sixty-seven thousand, nine hundred sixty-eight".