46605216 has 96 divisors (see below), whose sum is σ = 140894208. Its totient is φ = 13213440.

The previous prime is 46605161. The next prime is 46605217. The reversal of 46605216 is 61250664.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46605217) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 149701 + ... + 150011.

It is an arithmetic number, because the mean of its divisors is an integer number (1467648).

Almost surely, 2^46605216 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 46605216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70447104).

46605216 is an abundant number, since it is smaller than the sum of its proper divisors (94288992).

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

46605216 is a wasteful number, since it uses less digits than its factorization.

46605216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 46605216 is about 6826.8013007557. The cubic root of 46605216 is about 359.8693352961.

The spelling of 46605216 in words is "forty-six million, six hundred five thousand, two hundred sixteen".