167924480 has 72 divisors (see below), whose sum is σ = 405791232. Its totient is φ = 66576384.

The previous prime is 167924473. The next prime is 167924483. The reversal of 167924480 is 84429761.

It is a super-3 number, since 3×167924480³ (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (167924483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 162044 + ... + 163076.

Almost surely, 2^167924480 is an apocalyptic number.

167924480 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 167924480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202895616).

167924480 is an abundant number, since it is smaller than the sum of its proper divisors (237866752).

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

167924480 is a wasteful number, since it uses less digits than its factorization.

167924480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1181 (or 1167 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 41.

The square root of 167924480 is about 12958.5678221013. The cubic root of 167924480 is about 551.7021427438.

The spelling of 167924480 in words is "one hundred sixty-seven million, nine hundred twenty-four thousand, four hundred eighty".