67256401 has 9 divisors (see below), whose sum is σ = 68911401. Its totient is φ = 65640804.

The previous prime is 67256351. The next prime is 67256407. The reversal of 67256401 is 10465276.

It is a happy number.

The square root of 67256401 is 8201.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 67256401 - 2⁹ = 67255889 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (67256407) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 483790 + ... + 483928.

Almost surely, 2^67256401 is an apocalyptic number.

67256401 is the 8201-st square number.

67256401 is the 4101-st centered octagonal number.

It is an amenable number.

67256401 is a deficient number, since it is larger than the sum of its proper divisors (1655000).

67256401 is an frugal number, since it uses more digits than its factorization.

67256401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The cubic root of 67256401 is about 406.6722525286.

The spelling of 67256401 in words is "sixty-seven million, two hundred fifty-six thousand, four hundred one".