46611664 has 20 divisors (see below), whose sum is σ = 98520480. Its totient is φ = 21187040.

The previous prime is 46611641. The next prime is 46611679.

46611664 is nontrivially palindromic in base 10.

46611664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 132244 + ... + 132595.

It is an arithmetic number, because the mean of its divisors is an integer number (4926024).

Almost surely, 2^46611664 is an apocalyptic number.

46611664 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

46611664 is an abundant number, since it is smaller than the sum of its proper divisors (51908816).

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

46611664 is a wasteful number, since it uses less digits than its factorization.

46611664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264858 (or 264852 counting only the distinct ones).

The product of its digits is 20736, while the sum is 34.

The square root of 46611664 is about 6827.2735407335. The cubic root of 46611664 is about 359.8859309383.

The spelling of 46611664 in words is "forty-six million, six hundred eleven thousand, six hundred sixty-four".