46615632 has 80 divisors (see below), whose sum is σ = 145740672. Its totient is φ = 12533760.

The previous prime is 46615631. The next prime is 46615643. The reversal of 46615632 is 23651664.

46615632 = 829² + 830² + ... + 891².

It is a junction number, because it is equal to n+sod(n) for n = 46615593 and 46615602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46615631) 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, 1632 + ... + 9792.

Almost surely, 2^46615632 is an apocalyptic number.

46615632 is a gapful number since it is divisible by the number (42) 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 46615632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72870336).

46615632 is an abundant number, since it is smaller than the sum of its proper divisors (99125040).

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

46615632 is a wasteful number, since it uses less digits than its factorization.

46615632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8196 (or 8190 counting only the distinct ones).

The product of its digits is 25920, while the sum is 33.

The square root of 46615632 is about 6827.5641337156. The cubic root of 46615632 is about 359.8961428804.

The spelling of 46615632 in words is "forty-six million, six hundred fifteen thousand, six hundred thirty-two".