167481216 has 384 divisors, whose sum is σ = 613958400. Its totient is φ = 44706816.

The previous prime is 167481191. The next prime is 167481217. The reversal of 167481216 is 612184761.

It is a happy number.

167481216 is a `hidden beast` number, since 167 + 481 + 2 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (167481217) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3894891 + ... + 3894933.

It is an arithmetic number, because the mean of its divisors is an integer number (1598850).

Almost surely, 2^167481216 is an apocalyptic number.

167481216 is a gapful number since it is divisible by the number (16) 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 167481216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306979200).

167481216 is an abundant number, since it is smaller than the sum of its proper divisors (446477184).

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

167481216 is a wasteful number, since it uses less digits than its factorization.

167481216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 78 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 167481216 is about 12941.4533959675. The cubic root of 167481216 is about 551.2162791164.

The spelling of 167481216 in words is "one hundred sixty-seven million, four hundred eighty-one thousand, two hundred sixteen".