46071168 has 128 divisors (see below), whose sum is σ = 143942400. Its totient is φ = 12871680.

The previous prime is 46071163. The next prime is 46071191. The reversal of 46071168 is 86117064.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46071161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54493 + ... + 55331.

It is an arithmetic number, because the mean of its divisors is an integer number (1124550).

Almost surely, 2^46071168 is an apocalyptic number.

46071168 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 46071168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71971200).

46071168 is an abundant number, since it is smaller than the sum of its proper divisors (97871232).

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

46071168 is a wasteful number, since it uses less digits than its factorization.

46071168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 46071168 is about 6787.5745299776. The cubic root of 46071168 is about 358.4894733035.

It can be divided in two parts, 4607 and 1168, that added together give a palindrome (5775).

The spelling of 46071168 in words is "forty-six million, seventy-one thousand, one hundred sixty-eight".