46688664 has 128 divisors (see below), whose sum is σ = 137479680. Its totient is φ = 13056000.

The previous prime is 46688657. The next prime is 46688687.

46688664 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×46688664² = 4359662692209792, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 453237 + ... + 453339.

It is an arithmetic number, because the mean of its divisors is an integer number (1074060).

Almost surely, 2^46688664 is an apocalyptic number.

46688664 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 46688664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68739840).

46688664 is an abundant number, since it is smaller than the sum of its proper divisors (90791016).

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

46688664 is a wasteful number, since it uses less digits than its factorization.

46688664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 237 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 48.

The square root of 46688664 is about 6832.9103608931. The cubic root of 46688664 is about 360.0839927475.

The spelling of 46688664 in words is "forty-six million, six hundred eighty-eight thousand, six hundred sixty-four".