93782016 has 136 divisors (see below), whose sum is σ = 283113360. Its totient is φ = 30670848.

The previous prime is 93781993. The next prime is 93782021. The reversal of 93782016 is 61028739.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1769446 + ... + 1769498.

Almost surely, 2^93782016 is an apocalyptic number.

93782016 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93782016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141556680).

93782016 is an abundant number, since it is smaller than the sum of its proper divisors (189331344).

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

93782016 is an frugal number, since it uses more digits than its factorization.

93782016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 93782016 is about 9684.1115235214. Note that the first 3 decimals coincide. The cubic root of 93782016 is about 454.3318551517.

The spelling of 93782016 in words is "ninety-three million, seven hundred eighty-two thousand, sixteen".