167972768 has 48 divisors (see below), whose sum is σ = 349453440. Its totient is φ = 79257600.

The previous prime is 167972759. The next prime is 167972789. The reversal of 167972768 is 867279761.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 261728 + ... + 262368.

It is an arithmetic number, because the mean of its divisors is an integer number (7280280).

Almost surely, 2^167972768 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 167972768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174726720).

167972768 is an abundant number, since it is smaller than the sum of its proper divisors (181480672).

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

167972768 is a wasteful number, since it uses less digits than its factorization.

167972768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1101 (or 1093 counting only the distinct ones).

The product of its digits is 1778112, while the sum is 53.

The square root of 167972768 is about 12960.4308570356. The cubic root of 167972768 is about 551.7550197671.

It can be divided in two parts, 1679 and 72768, that added together give a palindrome (74447).

The spelling of 167972768 in words is "one hundred sixty-seven million, nine hundred seventy-two thousand, seven hundred sixty-eight".