1206788544 has 336 divisors, whose sum is σ = 3976347648. Its totient is φ = 360557568.

The previous prime is 1206788519. The next prime is 1206788549. The reversal of 1206788544 is 4458876021.

1206788544 is a `hidden beast` number, since 1 + 20 + 6 + 7 + 88 + 544 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1206788544.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1206788549) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9502209 + ... + 9502335.

It is an arithmetic number, because the mean of its divisors is an integer number (11834368).

Almost surely, 2^1206788544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1206788544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1988173824).

1206788544 is an abundant number, since it is smaller than the sum of its proper divisors (2769559104).

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

1206788544 is a wasteful number, since it uses less digits than its factorization.

1206788544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 1206788544 is about 34738.8621575319. The cubic root of 1206788544 is about 1064.6586646656.

The spelling of 1206788544 in words is "one billion, two hundred six million, seven hundred eighty-eight thousand, five hundred forty-four".