167000064 has 192 divisors, whose sum is σ = 556657920. Its totient is φ = 43253760.

The previous prime is 167000051. The next prime is 167000081. The reversal of 167000064 is 460000761.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a junction number, because it is equal to n+sod(n) for n = 166999998 and 167000043.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 472912 + ... + 473264.

It is an arithmetic number, because the mean of its divisors is an integer number (2899260).

Almost surely, 2^167000064 is an apocalyptic number.

167000064 is a gapful number since it is divisible by the number (14) 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 167000064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278328960).

167000064 is an abundant number, since it is smaller than the sum of its proper divisors (389657856).

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

167000064 is a wasteful number, since it uses less digits than its factorization.

167000064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 167000064 is about 12922.8504595542. The cubic root of 167000064 is about 550.6879149861.

The spelling of 167000064 in words is "one hundred sixty-seven million, sixty-four", and thus it is an aban number.