167361120 has 192 divisors, whose sum is σ = 616896000. Its totient is φ = 42259968.

The previous prime is 167361119. The next prime is 167361127. The reversal of 167361120 is 21163761.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (167361127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81061 + ... + 83099.

It is an arithmetic number, because the mean of its divisors is an integer number (3213000).

Almost surely, 2^167361120 is an apocalyptic number.

167361120 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 167361120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308448000).

167361120 is an abundant number, since it is smaller than the sum of its proper divisors (449534880).

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

167361120 is a wasteful number, since it uses less digits than its factorization.

167361120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2082 (or 2068 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 167361120 is about 12936.8125904335. The cubic root of 167361120 is about 551.0844937910.

The spelling of 167361120 in words is "one hundred sixty-seven million, three hundred sixty-one thousand, one hundred twenty".