46656126 has 96 divisors (see below), whose sum is σ = 118879488. Its totient is φ = 13067520.

The previous prime is 46656119. The next prime is 46656139. The reversal of 46656126 is 62165664.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 279295 + ... + 279461.

It is an arithmetic number, because the mean of its divisors is an integer number (1238328).

Almost surely, 2^46656126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46656126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59439744).

46656126 is an abundant number, since it is smaller than the sum of its proper divisors (72223362).

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

46656126 is a wasteful number, since it uses less digits than its factorization.

46656126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 283 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 46656126 is about 6830.5289692673. The cubic root of 46656126 is about 360.0003240738. Note that the first 3 decimals are identical.

The spelling of 46656126 in words is "forty-six million, six hundred fifty-six thousand, one hundred twenty-six".