1206745344 has 288 divisors, whose sum is σ = 4169760000. Its totient is φ = 344107008.

The previous prime is 1206745321. The next prime is 1206745363. The reversal of 1206745344 is 4435476021.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1206745299 and 1206745308.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2370562 + ... + 2371070.

Almost surely, 2^1206745344 is an apocalyptic number.

1206745344 is a gapful number since it is divisible by the number (14) 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 1206745344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2084880000).

1206745344 is an abundant number, since it is smaller than the sum of its proper divisors (2963014656).

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

1206745344 is an frugal number, since it uses more digits than its factorization.

1206745344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 1206745344 is about 34738.2403699439. The cubic root of 1206745344 is about 1064.6459604783.

The spelling of 1206745344 in words is "one billion, two hundred six million, seven hundred forty-five thousand, three hundred forty-four".