167440 has 80 divisors (see below), whose sum is σ = 499968. Its totient is φ = 50688.

The previous prime is 167437. The next prime is 167441. The reversal of 167440 is 44761.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (167441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7269 + ... + 7291.

2¹⁶⁷⁴⁴⁰ is an apocalyptic number.

167440 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 167440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249984).

167440 is an abundant number, since it is smaller than the sum of its proper divisors (332528).

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

167440 is a wasteful number, since it uses less digits than its factorization.

167440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 167440 is about 409.1943303615. The cubic root of 167440 is about 55.1171058535.

The spelling of 167440 in words is "one hundred sixty-seven thousand, four hundred forty".