1006404630 has 192 divisors, whose sum is σ = 3098684160. Its totient is φ = 206841600.

The previous prime is 1006404617. The next prime is 1006404643. The reversal of 1006404630 is 364046001.

It is an interprime number because it is at equal distance from previous prime (1006404617) and next prime (1006404643).

It is a self number, because there is not a number n which added to its sum of digits gives 1006404630.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1762245 + ... + 1762815.

It is an arithmetic number, because the mean of its divisors is an integer number (16138980).

Almost surely, 2^1006404630 is an apocalyptic number.

1006404630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1006404630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1549342080).

1006404630 is an abundant number, since it is smaller than the sum of its proper divisors (2092279530).

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

1006404630 is a wasteful number, since it uses less digits than its factorization.

1006404630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 715 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 1006404630 is about 31723.8810677382. The cubic root of 1006404630 is about 1002.1303351162.

The spelling of 1006404630 in words is "one billion, six million, four hundred four thousand, six hundred thirty".