67164940 has 36 divisors (see below), whose sum is σ = 142846704. Its totient is φ = 26526976.

The previous prime is 67164893. The next prime is 67164947. The reversal of 67164940 is 4946176.

67164940 = T₂₁₉ + T₂₂₀ + ... + T₇₄₄.

It is a super-2 number, since 2×67164940² = 9022258330407200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 67164940.

It is not an unprimeable number, because it can be changed into a prime (67164947) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 255249 + ... + 255511.

It is an arithmetic number, because the mean of its divisors is an integer number (3967964).

Almost surely, 2^67164940 is an apocalyptic number.

It is an amenable number.

67164940 is an abundant number, since it is smaller than the sum of its proper divisors (75681764).

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

67164940 is a wasteful number, since it uses less digits than its factorization.

67164940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 67164940 is about 8195.4218927399. The cubic root of 67164940 is about 406.4878263464.

The spelling of 67164940 in words is "sixty-seven million, one hundred sixty-four thousand, nine hundred forty".