67864401 has 48 divisors (see below), whose sum is σ = 111541248. Its totient is φ = 39398400.

The previous prime is 67864399. The next prime is 67864403. The reversal of 67864401 is 10446876.

67864401 is a `hidden beast` number, since 6 + 7 + 8 + 644 + 0 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (67864399) and next prime (67864403).

It is not a de Polignac number, because 67864401 - 2¹ = 67864399 is a prime.

It is not an unprimeable number, because it can be changed into a prime (67864403) by changing a digit.

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, 355216 + ... + 355406.

It is an arithmetic number, because the mean of its divisors is an integer number (2323776).

Almost surely, 2^67864401 is an apocalyptic number.

It is an amenable number.

67864401 is a deficient number, since it is larger than the sum of its proper divisors (43676847).

67864401 is a wasteful number, since it uses less digits than its factorization.

67864401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 67864401 is about 8237.9852512614. The cubic root of 67864401 is about 407.8940216382.

It can be divided in two parts, 67864 and 401, that added together give a triangular number (68265 = T₃₆₉).

The spelling of 67864401 in words is "sixty-seven million, eight hundred sixty-four thousand, four hundred one".