1006401 has 8 divisors (see below), whose sum is σ = 1463904. Its totient is φ = 609920.

The previous prime is 1006393. The next prime is 1006433. The reversal of 1006401 is 1046001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1006401 - 2³ = 1006393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1006441) 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 7 ways as a sum of consecutive naturals, for example, 15216 + ... + 15281.

It is an arithmetic number, because the mean of its divisors is an integer number (182988).

2^1006401 is an apocalyptic number.

1006401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1006401 is a deficient number, since it is larger than the sum of its proper divisors (457503).

1006401 is a wasteful number, since it uses less digits than its factorization.

1006401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30511.

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1006401 is about 1003.1953947263. The cubic root of 1006401 is about 100.2129130254.

The spelling of 1006401 in words is "one million, six thousand, four hundred one".