93771216 has 160 divisors (see below), whose sum is σ = 335692800. Its totient is φ = 24347520.

The previous prime is 93771211. The next prime is 93771217. The reversal of 93771216 is 61217739.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93771211) 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, 31855 + ... + 34673.

It is an arithmetic number, because the mean of its divisors is an integer number (2098080).

Almost surely, 2^93771216 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 93771216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167846400).

93771216 is an abundant number, since it is smaller than the sum of its proper divisors (241921584).

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

93771216 is a wasteful number, since it uses less digits than its factorization.

93771216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2854 (or 2842 counting only the distinct ones).

The product of its digits is 15876, while the sum is 36.

The square root of 93771216 is about 9683.5538930705. The cubic root of 93771216 is about 454.3144140949.

The spelling of 93771216 in words is "ninety-three million, seven hundred seventy-one thousand, two hundred sixteen".