1200106640 has 40 divisors (see below), whose sum is σ = 2792232000. Its totient is φ = 479701376.

The previous prime is 1200106631. The next prime is 1200106703. The reversal of 1200106640 is 466010021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

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 7 ways as a sum of consecutive naturals, for example, 128861 + ... + 137859.

It is an arithmetic number, because the mean of its divisors is an integer number (69805800).

Almost surely, 2^1200106640 is an apocalyptic number.

1200106640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1200106640 is an abundant number, since it is smaller than the sum of its proper divisors (1592125360).

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

1200106640 is a wasteful number, since it uses less digits than its factorization.

1200106640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10679 (or 10673 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 1200106640 is about 34642.5553330005. Note that the first 3 decimals coincide. The cubic root of 1200106640 is about 1062.6900465585.

Adding to 1200106640 its reverse (466010021), we get a palindrome (1666116661).

The spelling of 1200106640 in words is "one billion, two hundred million, one hundred six thousand, six hundred forty".