167640 has 64 divisors (see below), whose sum is σ = 552960. Its totient is φ = 40320.

The previous prime is 167633. The next prime is 167641. The reversal of 167640 is 46761.

167640 = T₂₉ + T₃₀ + ... + T₁₀₀.

167640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 167640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (167641) by changing a digit.

167640 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 15 ways as a sum of consecutive naturals, for example, 1257 + ... + 1383.

It is an arithmetic number, because the mean of its divisors is an integer number (8640).

2¹⁶⁷⁶⁴⁰ is an apocalyptic number.

167640 is a gapful number since it is divisible by the number (10) 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 167640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276480).

167640 is an abundant number, since it is smaller than the sum of its proper divisors (385320).

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

167640 is a wasteful number, since it uses less digits than its factorization.

167640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 167640 is about 409.4386400915. The cubic root of 167640 is about 55.1390421393.

The spelling of 167640 in words is "one hundred sixty-seven thousand, six hundred forty".