1000636416 has 320 divisors, whose sum is σ = 3330488700. Its totient is φ = 297271296.

The previous prime is 1000636411. The next prime is 1000636421. The reversal of 1000636416 is 6146360001.

1000636416 is a `hidden beast` number, since 10 + 0 + 0 + 6 + 3 + 641 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (1000636411) and next prime (1000636421).

It can be written as a sum of positive squares in 2 ways, for example, as 967458816 + 33177600 = 31104^2 + 5760^2 .

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 1000636416.

It is not an unprimeable number, because it can be changed into a prime (1000636411) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 34504690 + ... + 34504718.

Almost surely, 2^1000636416 is an apocalyptic number.

1000636416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000636416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1665244350).

1000636416 is an abundant number, since it is smaller than the sum of its proper divisors (2329852284).

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

1000636416 is an frugal number, since it uses more digits than its factorization.

1000636416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 1000636416 is about 31632.8376216867. The cubic root of 1000636416 is about 1000.2120936798.

Adding to 1000636416 its reverse (6146360001), we get a palindrome (7146996417).

The spelling of 1000636416 in words is "one billion, six hundred thirty-six thousand, four hundred sixteen".