93540672 has 84 divisors (see below), whose sum is σ = 269601696. Its totient is φ = 31008000.

The previous prime is 93540659. The next prime is 93540673. The reversal of 93540672 is 27604539.

It is a super-3 number, since 3×93540672³ (a number of 25 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93540673) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 144253 + ... + 144899.

It is an arithmetic number, because the mean of its divisors is an integer number (3209544).

Almost surely, 2^93540672 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 93540672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134800848).

93540672 is an abundant number, since it is smaller than the sum of its proper divisors (176061024).

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

93540672 is a wasteful number, since it uses less digits than its factorization.

93540672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 916 (or 903 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 93540672 is about 9671.6426733001. The cubic root of 93540672 is about 453.9417858302.

The spelling of 93540672 in words is "ninety-three million, five hundred forty thousand, six hundred seventy-two".