167001216 has 64 divisors (see below), whose sum is σ = 457939200. Its totient is φ = 53867520.

The previous prime is 167001209. The next prime is 167001257. The reversal of 167001216 is 612100761.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×167001216² = 55778812290957312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4890 + ... + 18918.

It is an arithmetic number, because the mean of its divisors is an integer number (7155300).

Almost surely, 2^167001216 is an apocalyptic number.

167001216 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 167001216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228969600).

167001216 is an abundant number, since it is smaller than the sum of its proper divisors (290937984).

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

167001216 is a wasteful number, since it uses less digits than its factorization.

167001216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14077 (or 14065 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 167001216 is about 12922.8950316870. The cubic root of 167001216 is about 550.6891812351.

Adding to 167001216 its reverse (612100761), we get a palindrome (779101977).

The spelling of 167001216 in words is "one hundred sixty-seven million, one thousand, two hundred sixteen".