91416960 has 192 divisors, whose sum is σ = 322218000. Its totient is φ = 23875584.

The previous prime is 91416953. The next prime is 91416967. The reversal of 91416960 is 6961419.

It is an interprime number because it is at equal distance from previous prime (91416953) and next prime (91416967).

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91416967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 339706 + ... + 339974.

Almost surely, 2^91416960 is an apocalyptic number.

91416960 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 91416960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161109000).

91416960 is an abundant number, since it is smaller than the sum of its proper divisors (230801040).

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

91416960 is a wasteful number, since it uses less digits than its factorization.

91416960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 91416960 is about 9561.2216792625. The cubic root of 91416960 is about 450.4800802393.

The spelling of 91416960 in words is "ninety-one million, four hundred sixteen thousand, nine hundred sixty".