167364560 has 80 divisors (see below), whose sum is σ = 443007360. Its totient is φ = 58206720.

The previous prime is 167364551. The next prime is 167364563. The reversal of 167364560 is 65463761.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (167364563) 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, 16106 + ... + 24374.

It is an arithmetic number, because the mean of its divisors is an integer number (5537592).

Almost surely, 2^167364560 is an apocalyptic number.

167364560 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 167364560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221503680).

167364560 is an abundant number, since it is smaller than the sum of its proper divisors (275642800).

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

167364560 is a wasteful number, since it uses less digits than its factorization.

167364560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8316 (or 8310 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 38.

The square root of 167364560 is about 12936.9455436745. The cubic root of 167364560 is about 551.0882694940.

The spelling of 167364560 in words is "one hundred sixty-seven million, three hundred sixty-four thousand, five hundred sixty".