93760416 has 120 divisors (see below), whose sum is σ = 280739844. Its totient is φ = 30689280.

The previous prime is 93760411. The next prime is 93760483. The reversal of 93760416 is 61406739.

93760416 is a `hidden beast` number, since 9 + 37 + 604 + 16 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 88284816 + 5475600 = 9396^2 + 2340^2 .

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

It is not an unprimeable number, because it can be changed into a prime (93760411) 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 19 ways as a sum of consecutive naturals, for example, 157816 + ... + 158408.

Almost surely, 2^93760416 is an apocalyptic number.

93760416 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93760416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140369922).

93760416 is an abundant number, since it is smaller than the sum of its proper divisors (186979428).

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

93760416 is a wasteful number, since it uses less digits than its factorization.

93760416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 93760416 is about 9682.9962305063. The cubic root of 93760416 is about 454.2969716989.

The spelling of 93760416 in words is "ninety-three million, seven hundred sixty thousand, four hundred sixteen".