93643872 has 96 divisors (see below), whose sum is σ = 282449664. Its totient is φ = 26611200.

The previous prime is 93643859. The next prime is 93643873. The reversal of 93643872 is 27834639.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93643873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 222222 + ... + 222642.

It is an arithmetic number, because the mean of its divisors is an integer number (2942184).

Almost surely, 2^93643872 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 93643872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141224832).

93643872 is an abundant number, since it is smaller than the sum of its proper divisors (188805792).

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

93643872 is a wasteful number, since it uses less digits than its factorization.

93643872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772 (or 764 counting only the distinct ones).

The product of its digits is 217728, while the sum is 42.

The square root of 93643872 is about 9676.9763872813. The cubic root of 93643872 is about 454.1086635948.

It can be divided in two parts, 93 and 643872, that multiplied together give a triangular number (59880096 = T₁₀₉₄₃).

The spelling of 93643872 in words is "ninety-three million, six hundred forty-three thousand, eight hundred seventy-two".