46687564 has 48 divisors (see below), whose sum is σ = 105396480. Its totient is φ = 17559360.

The previous prime is 46687549. The next prime is 46687567. The reversal of 46687564 is 46578664.

It is not an unprimeable number, because it can be changed into a prime (46687567) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 6319 + ... + 11545.

It is an arithmetic number, because the mean of its divisors is an integer number (2195760).

Almost surely, 2^46687564 is an apocalyptic number.

46687564 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 46687564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52698240).

46687564 is an abundant number, since it is smaller than the sum of its proper divisors (58708916).

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

46687564 is a wasteful number, since it uses less digits than its factorization.

46687564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5278 (or 5276 counting only the distinct ones).

The product of its digits is 967680, while the sum is 46.

The square root of 46687564 is about 6832.8298676317. The cubic root of 46687564 is about 360.0811648269.

Subtracting from 46687564 its reverse (46578664), we obtain a square (108900 = 330²).

The spelling of 46687564 in words is "forty-six million, six hundred eighty-seven thousand, five hundred sixty-four".