46677664 has 24 divisors (see below), whose sum is σ = 100251648. Its totient is φ = 21216960.

The previous prime is 46677647. The next prime is 46677671.

46677664 is nontrivially palindromic in base 10.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 65952 + ... + 66655.

It is an arithmetic number, because the mean of its divisors is an integer number (4177152).

Almost surely, 2^46677664 is an apocalyptic number.

46677664 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

46677664 is an abundant number, since it is smaller than the sum of its proper divisors (53573984).

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

46677664 is a wasteful number, since it uses less digits than its factorization.

46677664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132628 (or 132620 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 46.

The square root of 46677664 is about 6832.1053856041. The cubic root of 46677664 is about 360.0557115426.

The spelling of 46677664 in words is "forty-six million, six hundred seventy-seven thousand, six hundred sixty-four".