93411648 has 168 divisors, whose sum is σ = 305263296. Its totient is φ = 27033600.

The previous prime is 93411631. The next prime is 93411667. The reversal of 93411648 is 84611439.

93411648 is a `hidden beast` number, since 9 + 3 + 4 + 1 + 1 + 648 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145408 + ... + 146048.

Almost surely, 2^93411648 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 93411648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152631648).

93411648 is an abundant number, since it is smaller than the sum of its proper divisors (211851648).

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

93411648 is a wasteful number, since it uses less digits than its factorization.

93411648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693 (or 680 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 93411648 is about 9664.9701499798. The cubic root of 93411648 is about 453.7329770724.

The spelling of 93411648 in words is "ninety-three million, four hundred eleven thousand, six hundred forty-eight".