167798160 has 120 divisors (see below), whose sum is σ = 596714040. Its totient is φ = 42110976.

The previous prime is 167798123. The next prime is 167798167. The reversal of 167798160 is 61897761.

It can be written as a sum of positive squares in 4 ways, for example, as 65221776 + 102576384 = 8076^2 + 10128^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (167798167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5386 + ... + 19094.

It is an arithmetic number, because the mean of its divisors is an integer number (4972617).

Almost surely, 2^167798160 is an apocalyptic number.

167798160 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 167798160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298357020).

167798160 is an abundant number, since it is smaller than the sum of its proper divisors (428915880).

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

167798160 is a wasteful number, since it uses less digits than its factorization.

167798160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13745 (or 13736 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The square root of 167798160 is about 12953.6929097459. The cubic root of 167798160 is about 551.5637700324.

The spelling of 167798160 in words is "one hundred sixty-seven million, seven hundred ninety-eight thousand, one hundred sixty".