168071640 has 128 divisors (see below), whose sum is σ = 554238720. Its totient is φ = 40435200.

The previous prime is 168071633. The next prime is 168071647. The reversal of 168071640 is 46170861.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (168071633) and next prime (168071647).

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 (168071647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 206835 + ... + 207645.

It is an arithmetic number, because the mean of its divisors is an integer number (4329990).

Almost surely, 2^168071640 is an apocalyptic number.

168071640 is a gapful number since it is divisible by the number (10) 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 168071640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277119360).

168071640 is an abundant number, since it is smaller than the sum of its proper divisors (386167080).

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

168071640 is a wasteful number, since it uses less digits than its factorization.

168071640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 993 (or 989 counting only the distinct ones).

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

The square root of 168071640 is about 12964.2446752597. The cubic root of 168071640 is about 551.8632564033.

The spelling of 168071640 in words is "one hundred sixty-eight million, seventy-one thousand, six hundred forty".