1006636400 has 480 divisors, whose sum is σ = 3321216000. Its totient is φ = 289766400.

The previous prime is 1006636399. The next prime is 1006636409. The reversal of 1006636400 is 46366001.

It is a self number, because there is not a number n which added to its sum of digits gives 1006636400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006636409) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34711586 + ... + 34711614.

It is an arithmetic number, because the mean of its divisors is an integer number (6919200).

Almost surely, 2^1006636400 is an apocalyptic number.

1006636400 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 1006636400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1660608000).

1006636400 is an abundant number, since it is smaller than the sum of its proper divisors (2314579600).

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

1006636400 is a wasteful number, since it uses less digits than its factorization.

1006636400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 77 counting only the distinct ones).

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

The square root of 1006636400 is about 31727.5337837658. The cubic root of 1006636400 is about 1002.2072577619.

The spelling of 1006636400 in words is "one billion, six million, six hundred thirty-six thousand, four hundred".