167278560 has 96 divisors (see below), whose sum is σ = 528716160. Its totient is φ = 44456448.

The previous prime is 167278549. The next prime is 167278561. The reversal of 167278560 is 65872761.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (167278561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 269931 + ... + 270549.

It is an arithmetic number, because the mean of its divisors is an integer number (5507460).

Almost surely, 2^167278560 is an apocalyptic number.

167278560 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 167278560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264358080).

167278560 is an abundant number, since it is smaller than the sum of its proper divisors (361437600).

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

167278560 is a wasteful number, since it uses less digits than its factorization.

167278560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1200 (or 1192 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 42.

The square root of 167278560 is about 12933.6213026360. The cubic root of 167278560 is about 550.9938613923.

The spelling of 167278560 in words is "one hundred sixty-seven million, two hundred seventy-eight thousand, five hundred sixty".