1206645440 has 224 divisors, whose sum is σ = 3858914304. Its totient is φ = 347074560.

The previous prime is 1206645439. The next prime is 1206645449. The reversal of 1206645440 is 445466021.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 1206645397 and 1206645406.

It is not an unprimeable number, because it can be changed into a prime (1206645449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 318437 + ... + 322203.

It is an arithmetic number, because the mean of its divisors is an integer number (17227296).

Almost surely, 2^1206645440 is an apocalyptic number.

1206645440 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 1206645440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1929457152).

1206645440 is an abundant number, since it is smaller than the sum of its proper divisors (2652268864).

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

1206645440 is a wasteful number, since it uses less digits than its factorization.

1206645440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3815 (or 3805 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 1206645440 is about 34736.8023859422. The cubic root of 1206645440 is about 1064.6165797074.

It can be divided in two parts, 1206 and 645440, that added together give a palindrome (646646).

The spelling of 1206645440 in words is "one billion, two hundred six million, six hundred forty-five thousand, four hundred forty".