168627648 has 112 divisors (see below), whose sum is σ = 523833344. Its totient is φ = 46863360.

The previous prime is 168627647. The next prime is 168627659. The reversal of 168627648 is 846726861.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Smith number, since the sum of its digits (48) 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 (48).

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 = 168627597 and 168627606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168627647) 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, 48033 + ... + 51423.

Almost surely, 2^168627648 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 168627648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261916672).

168627648 is an abundant number, since it is smaller than the sum of its proper divisors (355205696).

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

168627648 is a wasteful number, since it uses less digits than its factorization.

168627648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3450 (or 3440 counting only the distinct ones).

The product of its digits is 774144, while the sum is 48.

The square root of 168627648 is about 12985.6708721575. The cubic root of 168627648 is about 552.4711373578.

The spelling of 168627648 in words is "one hundred sixty-eight million, six hundred twenty-seven thousand, six hundred forty-eight".