7646401 has 12 divisors (see below), whose sum is σ = 9203220. Its totient is φ = 6326880.

The previous prime is 7646393. The next prime is 7646423. The reversal of 7646401 is 1046467.

It can be written as a sum of positive squares in 2 ways, for example, as 3236401 + 4410000 = 1799^2 + 2100^2 .

It is not a de Polignac number, because 7646401 - 2³ = 7646393 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 7646401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7646461) 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 11 ways as a sum of consecutive naturals, for example, 1270 + ... + 4111.

It is an arithmetic number, because the mean of its divisors is an integer number (766935).

Almost surely, 2^7646401 is an apocalyptic number.

It is an amenable number.

7646401 is a deficient number, since it is larger than the sum of its proper divisors (1556819).

7646401 is a wasteful number, since it uses less digits than its factorization.

7646401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5424 (or 5417 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 7646401 is about 2765.2126500506. The cubic root of 7646401 is about 197.0088291713.

The spelling of 7646401 in words is "seven million, six hundred forty-six thousand, four hundred one".