46616320 has 72 divisors (see below), whose sum is σ = 113319360. Its totient is φ = 18370560.

The previous prime is 46616299. The next prime is 46616341. The reversal of 46616320 is 2361664.

It is an interprime number because it is at equal distance from previous prime (46616299) and next prime (46616341).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 100890 + ... + 101350.

It is an arithmetic number, because the mean of its divisors is an integer number (1573880).

Almost surely, 2^46616320 is an apocalyptic number.

46616320 is a gapful number since it is divisible by the number (40) 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 46616320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56659680).

46616320 is an abundant number, since it is smaller than the sum of its proper divisors (66703040).

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

46616320 is an equidigital number, since it uses as much as digits as its factorization.

46616320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 46616320 is about 6827.6145175310. The cubic root of 46616320 is about 359.8979134405.

Adding to 46616320 its reverse (2361664), we get a palindrome (48977984).

The spelling of 46616320 in words is "forty-six million, six hundred sixteen thousand, three hundred twenty".