67166064 has 240 divisors, whose sum is σ = 237484800. Its totient is φ = 18071424.

The previous prime is 67166009. The next prime is 67166081. The reversal of 67166064 is 46066176.

It is a super-2 number, since 2×67166064² = 9022560306504192, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 402109 + ... + 402275.

It is an arithmetic number, because the mean of its divisors is an integer number (989520).

Almost surely, 2^67166064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67166064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118742400).

67166064 is an abundant number, since it is smaller than the sum of its proper divisors (170318736).

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

67166064 is a wasteful number, since it uses less digits than its factorization.

67166064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 67166064 is about 8195.4904673241. The cubic root of 67166064 is about 406.4900938477.

The spelling of 67166064 in words is "sixty-seven million, one hundred sixty-six thousand, sixty-four".