167385978 has 48 divisors (see below), whose sum is σ = 391286376. Its totient is φ = 51517440.

The previous prime is 167385931. The next prime is 167385983. The reversal of 167385978 is 879583761.

167385978 is a `hidden beast` number, since 16 + 7 + 38 + 597 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 165714129 + 1671849 = 12873^2 + 1293^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11058 + ... + 21378.

Almost surely, 2^167385978 is an apocalyptic number.

167385978 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 167385978, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195643188).

167385978 is an abundant number, since it is smaller than the sum of its proper divisors (223900398).

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

167385978 is a wasteful number, since it uses less digits than its factorization.

167385978 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10399 (or 10396 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 54.

The square root of 167385978 is about 12937.7733014611. The cubic root of 167385978 is about 551.1117764720. Note that the first 3 decimals are identical.

The spelling of 167385978 in words is "one hundred sixty-seven million, three hundred eighty-five thousand, nine hundred seventy-eight".