1006900440 has 512 divisors, whose sum is σ = 4102963200. Its totient is φ = 191600640.

The previous prime is 1006900439. The next prime is 1006900481. The reversal of 1006900440 is 440096001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1006900440.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 4771935 + ... + 4772145.

It is an arithmetic number, because the mean of its divisors is an integer number (8013600).

Almost surely, 2^1006900440 is an apocalyptic number.

1006900440 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 1006900440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2051481600).

1006900440 is an abundant number, since it is smaller than the sum of its proper divisors (3096062760).

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

1006900440 is a wasteful number, since it uses less digits than its factorization.

1006900440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 1006900440 is about 31731.6945655286. The cubic root of 1006900440 is about 1002.2948761814.

Adding to 1006900440 its reverse (440096001), we get a palindrome (1446996441).

The spelling of 1006900440 in words is "one billion, six million, nine hundred thousand, four hundred forty".