46577664 has 216 divisors, whose sum is σ = 162260280. Its totient is φ = 12607488.

The previous prime is 46577659. The next prime is 46577701. The reversal of 46577664 is 46677564.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2451447 + ... + 2451465.

It is an arithmetic number, because the mean of its divisors is an integer number (751205).

Almost surely, 2^46577664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46577664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81130140).

46577664 is an abundant number, since it is smaller than the sum of its proper divisors (115682616).

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

46577664 is a wasteful number, since it uses less digits than its factorization.

46577664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 31 counting only the distinct ones).

The product of its digits is 846720, while the sum is 45.

The square root of 46577664 is about 6824.7830734757. The cubic root of 46577664 is about 359.7984056499.

It can be divided in two parts, 4657 and 7664, that added together give a palindrome (12321).

The spelling of 46577664 in words is "forty-six million, five hundred seventy-seven thousand, six hundred sixty-four".