9416687616 has 240 divisors, whose sum is σ = 31896708480. Its totient is φ = 2689597440.

The previous prime is 9416687611. The next prime is 9416687629. The reversal of 9416687616 is 6167866149.

It is a happy number.

9416687616 is a `hidden beast` number, since 9 + 4 + 16 + 6 + 8 + 7 + 616 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9416687611) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3095056 + ... + 3098096.

It is an arithmetic number, because the mean of its divisors is an integer number (132902952).

Almost surely, 2^9416687616 is an apocalyptic number.

9416687616 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 9416687616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15948354240).

9416687616 is an abundant number, since it is smaller than the sum of its proper divisors (22480020864).

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

9416687616 is an equidigital number, since it uses as much as digits as its factorization.

9416687616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3085 (or 3053 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 9416687616 is about 97039.6187956239. The cubic root of 9416687616 is about 2111.7024374168.

The spelling of 9416687616 in words is "nine billion, four hundred sixteen million, six hundred eighty-seven thousand, six hundred sixteen".