167672320 has 40 divisors (see below), whose sum is σ = 402026724. Its totient is φ = 67067904.

The previous prime is 167672311. The next prime is 167672327. The reversal of 167672320 is 23276761.

It is a happy number.

167672320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 166719744 + 952576 = 12912^2 + 976^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×167672320² = 56228013788364800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (167672327) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 30189 + ... + 35308.

Almost surely, 2^167672320 is an apocalyptic number.

167672320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

167672320 is an abundant number, since it is smaller than the sum of its proper divisors (234354404).

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

167672320 is an frugal number, since it uses more digits than its factorization.

167672320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65520 (or 65504 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 34.

The square root of 167672320 is about 12948.8346966049. The cubic root of 167672320 is about 551.4258540524.

The spelling of 167672320 in words is "one hundred sixty-seven million, six hundred seventy-two thousand, three hundred twenty".