167113440 has 288 divisors, whose sum is σ = 627419520. Its totient is φ = 40255488.

The previous prime is 167113433. The next prime is 167113447. The reversal of 167113440 is 44311761.

It is a happy number.

167113440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (167113433) and next prime (167113447).

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (167113447) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1478824 + ... + 1478936.

It is an arithmetic number, because the mean of its divisors is an integer number (2178540).

Almost surely, 2^167113440 is an apocalyptic number.

167113440 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 167113440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313709760).

167113440 is an abundant number, since it is smaller than the sum of its proper divisors (460306080).

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

167113440 is a wasteful number, since it uses less digits than its factorization.

167113440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 167113440 is about 12927.2363635852. The cubic root of 167113440 is about 550.8125070929.

The spelling of 167113440 in words is "one hundred sixty-seven million, one hundred thirteen thousand, four hundred forty".