1006623800 has 384 divisors, whose sum is σ = 3149798400. Its totient is φ = 290304000.

The previous prime is 1006623799. The next prime is 1006623823. The reversal of 1006623800 is 83266001.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 1006623800.

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, 14177765 + ... + 14177835.

It is an arithmetic number, because the mean of its divisors is an integer number (8202600).

Almost surely, 2^1006623800 is an apocalyptic number.

1006623800 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 1006623800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1574899200).

1006623800 is an abundant number, since it is smaller than the sum of its proper divisors (2143174600).

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

1006623800 is a wasteful number, since it uses less digits than its factorization.

1006623800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 1006623800 is about 31727.3352174430. The cubic root of 1006623800 is about 1002.2030762242.

Adding to 1006623800 its reverse (83266001), we get a palindrome (1089889801).

The spelling of 1006623800 in words is "one billion, six million, six hundred twenty-three thousand, eight hundred".