46126656 has 84 divisors (see below), whose sum is σ = 134147052. Its totient is φ = 15151104.

The previous prime is 46126643. The next prime is 46126657. The reversal of 46126656 is 65662164.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 19501056 + 26625600 = 4416^2 + 5160^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 46126656.

It is not an unprimeable number, because it can be changed into a prime (46126657) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41500 + ... + 42596.

Almost surely, 2^46126656 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 46126656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67073526).

46126656 is an abundant number, since it is smaller than the sum of its proper divisors (88020396).

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

46126656 is a wasteful number, since it uses less digits than its factorization.

46126656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1188 (or 1175 counting only the distinct ones).

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

The square root of 46126656 is about 6791.6607689136. The cubic root of 46126656 is about 358.6333368389.

The spelling of 46126656 in words is "forty-six million, one hundred twenty-six thousand, six hundred fifty-six".