167968560 has 80 divisors (see below), whose sum is σ = 522395136. Its totient is φ = 44646144.

The previous prime is 167968499. The next prime is 167968579. The reversal of 167968560 is 65869761.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87127 + ... + 89033.

Almost surely, 2^167968560 is an apocalyptic number.

167968560 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 167968560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261197568).

167968560 is an abundant number, since it is smaller than the sum of its proper divisors (354426576).

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

167968560 is a wasteful number, since it uses less digits than its factorization.

167968560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2290 (or 2284 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The square root of 167968560 is about 12960.2685157369. The cubic root of 167968560 is about 551.7504122653.

The spelling of 167968560 in words is "one hundred sixty-seven million, nine hundred sixty-eight thousand, five hundred sixty".