93096960 has 352 divisors, whose sum is σ = 353721600. Its totient is φ = 20643840.

The previous prime is 93096943. The next prime is 93096967. The reversal of 93096960 is 6969039.

It is a tau number, because it is divible by the number of its divisors (352).

It is a super-2 number, since 2×93096960² = 17334087922483200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93096967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3210226 + ... + 3210254.

Almost surely, 2^93096960 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 93096960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176860800).

93096960 is an abundant number, since it is smaller than the sum of its proper divisors (260624640).

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

93096960 is a wasteful number, since it uses less digits than its factorization.

93096960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 78732, while the sum is 42.

The square root of 93096960 is about 9648.6765931914. The cubic root of 93096960 is about 453.2228873579. Note that the first 3 decimals are identical.

The spelling of 93096960 in words is "ninety-three million, ninety-six thousand, nine hundred sixty".