93080960 has 128 divisors (see below), whose sum is σ = 258508800. Its totient is φ = 31389696.

The previous prime is 93080927. The next prime is 93080963. The reversal of 93080960 is 6908039.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×93080960² = 17328130229043200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 93080960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93080963) 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, 353789 + ... + 354051.

It is an arithmetic number, because the mean of its divisors is an integer number (2019600).

Almost surely, 2^93080960 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 93080960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129254400).

93080960 is an abundant number, since it is smaller than the sum of its proper divisors (165427840).

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

93080960 is a wasteful number, since it uses less digits than its factorization.

93080960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 35.

The square root of 93080960 is about 9647.8474283127. The cubic root of 93080960 is about 453.1969216634.

Adding to 93080960 its reverse (6908039), we get a palindrome (99988999).

The spelling of 93080960 in words is "ninety-three million, eighty thousand, nine hundred sixty".