93746048 has 64 divisors (see below), whose sum is σ = 205632000. Its totient is φ = 42216960.

The previous prime is 93746033. The next prime is 93746053. The reversal of 93746048 is 84064739.

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

It is a junction number, because it is equal to n+sod(n) for n = 93745996 and 93746014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 195473 + ... + 195951.

It is an arithmetic number, because the mean of its divisors is an integer number (3213000).

Almost surely, 2^93746048 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 93746048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102816000).

93746048 is an abundant number, since it is smaller than the sum of its proper divisors (111885952).

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

93746048 is a wasteful number, since it uses less digits than its factorization.

93746048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 41.

The square root of 93746048 is about 9682.2542829653. The cubic root of 93746048 is about 454.2737647756.

The spelling of 93746048 in words is "ninety-three million, seven hundred forty-six thousand, forty-eight".