1006400884 has 18 divisors (see below), whose sum is σ = 1870897910. Its totient is φ = 473599872.

The previous prime is 1006400881. The next prime is 1006400893. The reversal of 1006400884 is 4880046001.

It can be written as a sum of positive squares in 3 ways, for example, as 774508900 + 231891984 = 27830^2 + 15228^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006400881) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 434139 + ... + 436450.

Almost surely, 2^1006400884 is an apocalyptic number.

It is an amenable number.

1006400884 is a deficient number, since it is larger than the sum of its proper divisors (864497026).

1006400884 is a wasteful number, since it uses less digits than its factorization.

1006400884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870627 (or 870608 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 1006400884 is about 31723.8220269879. The cubic root of 1006400884 is about 1002.1290917512.

Adding to 1006400884 its reverse (4880046001), we get a palindrome (5886446885).

The spelling of 1006400884 in words is "one billion, six million, four hundred thousand, eight hundred eighty-four".