93746016 has 288 divisors, whose sum is σ = 339393600. Its totient is φ = 24385536.

The previous prime is 93746011. The next prime is 93746021. The reversal of 93746016 is 61064739.

It is an interprime number because it is at equal distance from previous prime (93746011) and next prime (93746021).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93746011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1284156 + ... + 1284228.

It is an arithmetic number, because the mean of its divisors is an integer number (1178450).

Almost surely, 2^93746016 is an apocalyptic number.

93746016 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 93746016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169696800).

93746016 is an abundant number, since it is smaller than the sum of its proper divisors (245647584).

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

93746016 is a wasteful number, since it uses less digits than its factorization.

93746016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 93746016 is about 9682.2526304574. The cubic root of 93746016 is about 454.2737130872.

The spelling of 93746016 in words is "ninety-three million, seven hundred forty-six thousand, sixteen".