46626640 has 40 divisors (see below), whose sum is σ = 110037600. Its totient is φ = 18370176.

The previous prime is 46626617. The next prime is 46626649. The reversal of 46626640 is 4662664.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 46626596 and 46626605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46626649) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1011 + ... + 9709.

It is an arithmetic number, because the mean of its divisors is an integer number (2750940).

Almost surely, 2^46626640 is an apocalyptic number.

46626640 is a gapful number since it is divisible by the number (40) 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 46626640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55018800).

46626640 is an abundant number, since it is smaller than the sum of its proper divisors (63410960).

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

46626640 is a wasteful number, since it uses less digits than its factorization.

46626640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8779 (or 8773 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 34.

The square root of 46626640 is about 6828.3702301501. The cubic root of 46626640 is about 359.9244697511.

The spelling of 46626640 in words is "forty-six million, six hundred twenty-six thousand, six hundred forty".