167936 has 26 divisors (see below), whose sum is σ = 344022. Its totient is φ = 81920.

The previous prime is 167917. The next prime is 167953. The reversal of 167936 is 639761.

It can be written as a sum of positive squares in only one way, i.e., 102400 + 65536 = 320^2 + 256^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a nialpdrome in base 4 and base 8.

It is a congruent number.

It is an unprimeable number.

167936 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4076 + ... + 4116.

2¹⁶⁷⁹³⁶ is an apocalyptic number.

167936 is a gapful number since it is divisible by the number (16) 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 167936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172011).

167936 is an abundant number, since it is smaller than the sum of its proper divisors (176086).

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

167936 is an frugal number, since it uses more digits than its factorization.

167936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 43 counting only the distinct ones).

The product of its digits is 6804, while the sum is 32.

The square root of 167936 is about 409.7999511957. The cubic root of 167936 is about 55.1714758461.

The spelling of 167936 in words is "one hundred sixty-seven thousand, nine hundred thirty-six".