167942160 has 240 divisors, whose sum is σ = 599586624. Its totient is φ = 43670016.

The previous prime is 167942147. The next prime is 167942207. The reversal of 167942160 is 61249761.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1030239 + ... + 1030401.

Almost surely, 2^167942160 is an apocalyptic number.

167942160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

167942160 is the 6480-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 167942160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299793312).

167942160 is an abundant number, since it is smaller than the sum of its proper divisors (431644464).

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

167942160 is a wasteful number, since it uses less digits than its factorization.

167942160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 167942160 is about 12959.2499782974. The cubic root of 167942160 is about 551.7215041289.

The spelling of 167942160 in words is "one hundred sixty-seven million, nine hundred forty-two thousand, one hundred sixty".