1000727406 has 64 divisors (see below), whose sum is σ = 2691048960. Its totient is φ = 269101440.

The previous prime is 1000727383. The next prime is 1000727407. The reversal of 1000727406 is 6047270001.

It is a super-2 number, since 2×1000727406² = 2002910682238977672, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1000727406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000727407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71440 + ... + 84291.

It is an arithmetic number, because the mean of its divisors is an integer number (42047640).

Almost surely, 2^1000727406 is an apocalyptic number.

1000727406 is an abundant number, since it is smaller than the sum of its proper divisors (1690321554).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1000727406 is a wasteful number, since it uses less digits than its factorization.

1000727406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155766 (or 155760 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 1000727406 is about 31634.2758096341. The cubic root of 1000727406 is about 1000.2424098994.

Adding to 1000727406 its reverse (6047270001), we get a palindrome (7047997407).

The spelling of 1000727406 in words is "one billion, seven hundred twenty-seven thousand, four hundred six".