167449968 has 120 divisors (see below), whose sum is σ = 538382208. Its totient is φ = 47592576.

The previous prime is 167449967. The next prime is 167449993. The reversal of 167449968 is 869944761.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (167449963) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 284971 + ... + 285557.

Almost surely, 2^167449968 is an apocalyptic number.

167449968 is a gapful number since it is divisible by the number (18) 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 167449968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269191104).

167449968 is an abundant number, since it is smaller than the sum of its proper divisors (370932240).

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

167449968 is a wasteful number, since it uses less digits than its factorization.

167449968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891 (or 882 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 167449968 is about 12940.2460563932. The cubic root of 167449968 is about 551.1819957143.

The spelling of 167449968 in words is "one hundred sixty-seven million, four hundred forty-nine thousand, nine hundred sixty-eight".