46633664 has 56 divisors (see below), whose sum is σ = 115385088. Its totient is φ = 18167040.

The previous prime is 46633583. The next prime is 46633679.

46633664 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (56).

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 7 ways as a sum of consecutive naturals, for example, 197 + ... + 9659.

It is an arithmetic number, because the mean of its divisors is an integer number (2060448).

Almost surely, 2^46633664 is an apocalyptic number.

46633664 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 46633664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57692544).

46633664 is an abundant number, since it is smaller than the sum of its proper divisors (68751424).

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

46633664 is a wasteful number, since it uses less digits than its factorization.

46633664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9493 (or 9483 counting only the distinct ones).

The product of its digits is 186624, while the sum is 38.

The square root of 46633664 is about 6828.8845355592. The cubic root of 46633664 is about 359.9425422703.

The spelling of 46633664 in words is "forty-six million, six hundred thirty-three thousand, six hundred sixty-four".