93827968 has 64 divisors (see below), whose sum is σ = 203490000. Its totient is φ = 42835968.

The previous prime is 93827911. The next prime is 93827977. The reversal of 93827968 is 86972839.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 187783 + ... + 188281.

Almost surely, 2^93827968 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 93827968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101745000).

93827968 is an abundant number, since it is smaller than the sum of its proper divisors (109662032).

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

93827968 is a wasteful number, since it uses less digits than its factorization.

93827968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 627 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 52.

The square root of 93827968 is about 9686.4837789572. The cubic root of 93827968 is about 454.4060486532.

The spelling of 93827968 in words is "ninety-three million, eight hundred twenty-seven thousand, nine hundred sixty-eight".