46636128 has 192 divisors, whose sum is σ = 169827840. Its totient is φ = 12096000.

The previous prime is 46636103. The next prime is 46636141. The reversal of 46636128 is 82163664.

46636128 is a `hidden beast` number, since 4 + 6 + 636 + 12 + 8 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 46636092 and 46636101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66178 + ... + 66878.

It is an arithmetic number, because the mean of its divisors is an integer number (884520).

Almost surely, 2^46636128 is an apocalyptic number.

46636128 is a gapful number since it is divisible by the number (48) 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 46636128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84913920).

46636128 is an abundant number, since it is smaller than the sum of its proper divisors (123191712).

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

46636128 is a wasteful number, since it uses less digits than its factorization.

46636128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738 (or 724 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 46636128 is about 6829.0649433140. The cubic root of 46636128 is about 359.9488816307.

It can be divided in two parts, 46636 and 128, that added together give a palindrome (46764).

The spelling of 46636128 in words is "forty-six million, six hundred thirty-six thousand, one hundred twenty-eight".