93161600 has 96 divisors (see below), whose sum is σ = 263078400. Its totient is φ = 31933440.

The previous prime is 93161591. The next prime is 93161609. The reversal of 93161600 is 616139.

It is an interprime number because it is at equal distance from previous prime (93161591) and next prime (93161609).

It is a self number, because there is not a number n which added to its sum of digits gives 93161600.

It is not an unprimeable number, because it can be changed into a prime (93161609) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20321 + ... + 24479.

It is an arithmetic number, because the mean of its divisors is an integer number (2740400).

Almost surely, 2^93161600 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 93161600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131539200).

93161600 is an abundant number, since it is smaller than the sum of its proper divisors (169916800).

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

93161600 is a wasteful number, since it uses less digits than its factorization.

93161600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4190 (or 4173 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 26.

The square root of 93161600 is about 9652.0256941225. The cubic root of 93161600 is about 453.3277584858.

Adding to 93161600 its reverse (616139), we get a palindrome (93777739).

The spelling of 93161600 in words is "ninety-three million, one hundred sixty-one thousand, six hundred".