67126401 has 10 divisors (see below), whose sum is σ = 100275362. Its totient is φ = 44750880.

The previous prime is 67126393. The next prime is 67126403. The reversal of 67126401 is 10462176.

67126401 is a `hidden beast` number, since 6 + 7 + 12 + 640 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 47279376 + 19847025 = 6876^2 + 4455^2 .

It is not a de Polignac number, because 67126401 - 2³ = 67126393 is a prime.

It is a super-2 number, since 2×67126401² = 9011907422425602, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (67126403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 414280 + ... + 414441.

Almost surely, 2^67126401 is an apocalyptic number.

It is an amenable number.

67126401 is a deficient number, since it is larger than the sum of its proper divisors (33148961).

67126401 is an equidigital number, since it uses as much as digits as its factorization.

67126401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828733 (or 828724 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 67126401 is about 8193.0703036163. The cubic root of 67126401 is about 406.4100643891.

Adding to 67126401 its reverse (10462176), we get a palindrome (77588577).

It can be divided in two parts, 671 and 26401, that added together give a palindrome (27072).

The spelling of 67126401 in words is "sixty-seven million, one hundred twenty-six thousand, four hundred one".