91201968 has 240 divisors, whose sum is σ = 309813504. Its totient is φ = 24675840.

The previous prime is 91201963. The next prime is 91201987. The reversal of 91201968 is 86910219.

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

91201968 is a modest number, since divided by 1968 gives 912 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91201963) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 885405 + ... + 885507.

Almost surely, 2^91201968 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 91201968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154906752).

91201968 is an abundant number, since it is smaller than the sum of its proper divisors (218611536).

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

91201968 is a wasteful number, since it uses less digits than its factorization.

91201968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 91201968 is about 9549.9721465562. The cubic root of 91201968 is about 450.1266606420.

The spelling of 91201968 in words is "ninety-one million, two hundred one thousand, nine hundred sixty-eight".