167840 has 24 divisors (see below), whose sum is σ = 396900. Its totient is φ = 67072.

The previous prime is 167809. The next prime is 167861. The reversal of 167840 is 48761.

It can be written as a sum of positive squares in 2 ways, for example, as 163216 + 4624 = 404^2 + 68^2 .

It is an unprimeable number.

167840 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 365 + ... + 684.

2¹⁶⁷⁸⁴⁰ is an apocalyptic number.

167840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

167840 is an abundant number, since it is smaller than the sum of its proper divisors (229060).

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

167840 is a wasteful number, since it uses less digits than its factorization.

167840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1064 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 167840 is about 409.6828041302. The cubic root of 167840 is about 55.1609609848.

The spelling of 167840 in words is "one hundred sixty-seven thousand, eight hundred forty".