93616820 has 48 divisors (see below), whose sum is σ = 215744256. Its totient is φ = 33840000.

The previous prime is 93616813. The next prime is 93616823. The reversal of 93616820 is 2861639.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93616823) 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, 38645 + ... + 40995.

It is an arithmetic number, because the mean of its divisors is an integer number (4494672).

Almost surely, 2^93616820 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 93616820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107872128).

93616820 is an abundant number, since it is smaller than the sum of its proper divisors (122127436).

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

93616820 is a wasteful number, since it uses less digits than its factorization.

93616820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2552 (or 2550 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 35.

The square root of 93616820 is about 9675.5785356742. The cubic root of 93616820 is about 454.0649314907.

The spelling of 93616820 in words is "ninety-three million, six hundred sixteen thousand, eight hundred twenty".