93748512 has 96 divisors (see below), whose sum is σ = 289154880. Its totient is φ = 26219520.

The previous prime is 93748511. The next prime is 93748513. The reversal of 93748512 is 21584739.

It is an interprime number because it is at equal distance from previous prime (93748511) and next prime (93748513).

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 (39).

It is not an unprimeable number, because it can be changed into a prime (93748511) 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 15 ways as a sum of consecutive naturals, for example, 10314 + ... + 17142.

It is an arithmetic number, because the mean of its divisors is an integer number (3012030).

Almost surely, 2^93748512 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 93748512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144577440).

93748512 is an abundant number, since it is smaller than the sum of its proper divisors (195406368).

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

93748512 is a wasteful number, since it uses less digits than its factorization.

93748512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6866 (or 6858 counting only the distinct ones).

The product of its digits is 60480, while the sum is 39.

The square root of 93748512 is about 9682.3815252240. The cubic root of 93748512 is about 454.2777447505.

The spelling of 93748512 in words is "ninety-three million, seven hundred forty-eight thousand, five hundred twelve".