46655664 has 120 divisors (see below), whose sum is σ = 137543280. Its totient is φ = 13601280.

The previous prime is 46655647. The next prime is 46655677.

It is a happy number.

46655664 is nontrivially palindromic in base 10.

46655664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

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 23 ways as a sum of consecutive naturals, for example, 168294 + ... + 168570.

It is an arithmetic number, because the mean of its divisors is an integer number (1146194).

Almost surely, 2^46655664 is an apocalyptic number.

46655664 is a gapful number since it is divisible by the number (44) 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 46655664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68771640).

46655664 is an abundant number, since it is smaller than the sum of its proper divisors (90887616).

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

46655664 is a wasteful number, since it uses less digits than its factorization.

46655664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 322 counting only the distinct ones).

The product of its digits is 518400, while the sum is 42.

The square root of 46655664 is about 6830.4951504265. The cubic root of 46655664 is about 359.9991358004. Note that the first 3 decimals are identical.

The spelling of 46655664 in words is "forty-six million, six hundred fifty-five thousand, six hundred sixty-four".