167881120 has 192 divisors, whose sum is σ = 475517952. Its totient is φ = 55296000.

The previous prime is 167881079. The next prime is 167881123. The reversal of 167881120 is 21188761.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (167881123) 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, 927430 + ... + 927610.

It is an arithmetic number, because the mean of its divisors is an integer number (2476656).

Almost surely, 2^167881120 is an apocalyptic number.

167881120 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 167881120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237758976).

167881120 is an abundant number, since it is smaller than the sum of its proper divisors (307636832).

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

167881120 is a wasteful number, since it uses less digits than its factorization.

167881120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 34.

The square root of 167881120 is about 12956.8946897009. The cubic root of 167881120 is about 551.6546534118.

It can be divided in two parts, 1 and 67881120, that added together give a square (67881121 = 8239²).

The spelling of 167881120 in words is "one hundred sixty-seven million, eight hundred eighty-one thousand, one hundred twenty".