93863664 has 80 divisors (see below), whose sum is σ = 285294240. Its totient is φ = 29445120.

The previous prime is 93863659. The next prime is 93863669. The reversal of 93863664 is 46636839.

93863664 is a `hidden beast` number, since 9 + 3 + 8 + 636 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (93863659) and next prime (93863669).

It is a super-3 number, since 3×93863664³ (a number of 25 digits) contains 333 as substring.

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 (93863669) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 954 + ... + 13734.

It is an arithmetic number, because the mean of its divisors is an integer number (3566178).

Almost surely, 2^93863664 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 93863664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142647120).

93863664 is an abundant number, since it is smaller than the sum of its proper divisors (191430576).

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

93863664 is a wasteful number, since it uses less digits than its factorization.

93863664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12815 (or 12803 counting only the distinct ones).

The product of its digits is 559872, while the sum is 45.

The square root of 93863664 is about 9688.3261712228. The cubic root of 93863664 is about 454.4636662347.

The spelling of 93863664 in words is "ninety-three million, eight hundred sixty-three thousand, six hundred sixty-four".