94768416 has 72 divisors (see below), whose sum is σ = 271724544. Its totient is φ = 31328640.

The previous prime is 94768397. The next prime is 94768417. The reversal of 94768416 is 61486749.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×94768416² = 17962105342298112, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (94768417) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35281 + ... + 37871.

It is an arithmetic number, because the mean of its divisors is an integer number (3773952).

Almost surely, 2^94768416 is an apocalyptic number.

94768416 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 94768416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135862272).

94768416 is an abundant number, since it is smaller than the sum of its proper divisors (176956128).

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

94768416 is a wasteful number, since it uses less digits than its factorization.

94768416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2734 (or 2723 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 94768416 is about 9734.9070873840. The cubic root of 94768416 is about 455.9191915902.

The spelling of 94768416 in words is "ninety-four million, seven hundred sixty-eight thousand, four hundred sixteen".