93516420 has 48 divisors (see below), whose sum is σ = 263753280. Its totient is φ = 24756096.

The previous prime is 93516419. The next prime is 93516421. The reversal of 93516420 is 2461539.

It is an interprime number because it is at equal distance from previous prime (93516419) and next prime (93516421).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (93516421) 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, 2734 + ... + 13946.

It is an arithmetic number, because the mean of its divisors is an integer number (5494860).

Almost surely, 2^93516420 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 93516420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131876640).

93516420 is an abundant number, since it is smaller than the sum of its proper divisors (170236860).

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

93516420 is a wasteful number, since it uses less digits than its factorization.

93516420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11364 (or 11362 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 93516420 is about 9670.3888236203. The cubic root of 93516420 is about 453.9025517462.

Adding to 93516420 its reverse (2461539), we get a palindrome (95977959).

The spelling of 93516420 in words is "ninety-three million, five hundred sixteen thousand, four hundred twenty".