167042960 has 120 divisors (see below), whose sum is σ = 462756096. Its totient is φ = 55883520.

The previous prime is 167042959. The next prime is 167042963. The reversal of 167042960 is 69240761.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 167042960.

It is not an unprimeable number, because it can be changed into a prime (167042963) 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, 168065 + ... + 169055.

Almost surely, 2^167042960 is an apocalyptic number.

167042960 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 167042960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231378048).

167042960 is an abundant number, since it is smaller than the sum of its proper divisors (295713136).

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

167042960 is a wasteful number, since it uses less digits than its factorization.

167042960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1061 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 35.

The square root of 167042960 is about 12924.5100487407. The cubic root of 167042960 is about 550.7350612485.

The spelling of 167042960 in words is "one hundred sixty-seven million, forty-two thousand, nine hundred sixty".