1636006400 has 360 divisors, whose sum is σ = 5038561440. Its totient is φ = 514252800.

The previous prime is 1636006391. The next prime is 1636006403. The reversal of 1636006400 is 46006361.

It is a self number, because there is not a number n which added to its sum of digits gives 1636006400.

It is not an unprimeable number, because it can be changed into a prime (1636006403) 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 35 ways as a sum of consecutive naturals, for example, 52774385 + ... + 52774415.

It is an arithmetic number, because the mean of its divisors is an integer number (13996004).

Almost surely, 2^1636006400 is an apocalyptic number.

1636006400 is a gapful number since it is divisible by the number (10) 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 1636006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2519280720).

1636006400 is an abundant number, since it is smaller than the sum of its proper divisors (3402555040).

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

1636006400 is an equidigital number, since it uses as much as digits as its factorization.

1636006400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

The square root of 1636006400 is about 40447.5759471442. The cubic root of 1636006400 is about 1178.3157048570.

The spelling of 1636006400 in words is "one billion, six hundred thirty-six million, six thousand, four hundred".