46613632 has 64 divisors (see below), whose sum is σ = 101316600. Its totient is φ = 21233664.

The previous prime is 46613629. The next prime is 46613653. The reversal of 46613632 is 23631664.

It can be written as a sum of positive squares in 4 ways, for example, as 45481536 + 1132096 = 6744^2 + 1064^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 46613594 and 46613603.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 181248 + ... + 181504.

Almost surely, 2^46613632 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 46613632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50658300).

46613632 is an abundant number, since it is smaller than the sum of its proper divisors (54702968).

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

46613632 is a wasteful number, since it uses less digits than its factorization.

46613632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 381 counting only the distinct ones).

The product of its digits is 15552, while the sum is 31.

The square root of 46613632 is about 6827.4176670246. The cubic root of 46613632 is about 359.8909958046.

The spelling of 46613632 in words is "forty-six million, six hundred thirteen thousand, six hundred thirty-two".