610646401 has 16 divisors (see below), whose sum is σ = 645972480. Its totient is φ = 576455040.

The previous prime is 610646381. The next prime is 610646423. The reversal of 610646401 is 104646016.

It is a cyclic number.

It is not a de Polignac number, because 610646401 - 2⁵ = 610646369 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 610646401.

It is not an unprimeable number, because it can be changed into a prime (610646431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 249355 + ... + 251791.

It is an arithmetic number, because the mean of its divisors is an integer number (40373280).

Almost surely, 2^610646401 is an apocalyptic number.

It is an amenable number.

610646401 is a deficient number, since it is larger than the sum of its proper divisors (35326079).

610646401 is a wasteful number, since it uses less digits than its factorization.

610646401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2664.

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 610646401 is about 24711.2606113084. The cubic root of 610646401 is about 848.3920702608.

The spelling of 610646401 in words is "six hundred ten million, six hundred forty-six thousand, four hundred one".