91944960 has 192 divisors, whose sum is σ = 305454240. Its totient is φ = 23592960.

The previous prime is 91944953. The next prime is 91944967. The reversal of 91944960 is 6944919.

It is an interprime number because it is at equal distance from previous prime (91944953) and next prime (91944967).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91944967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1259484 + ... + 1259556.

Almost surely, 2^91944960 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 91944960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152727120).

91944960 is an abundant number, since it is smaller than the sum of its proper divisors (213509280).

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

91944960 is a wasteful number, since it uses less digits than its factorization.

91944960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 42.

The square root of 91944960 is about 9588.7934590333. The cubic root of 91944960 is about 451.3457001417.

The spelling of 91944960 in words is "ninety-one million, nine hundred forty-four thousand, nine hundred sixty".