1206006144 has 256 divisors, whose sum is σ = 3882332160. Its totient is φ = 324403200.

The previous prime is 1206006143. The next prime is 1206006181. The reversal of 1206006144 is 4416006021.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1206006143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3416272 + ... + 3416624.

It is an arithmetic number, because the mean of its divisors is an integer number (15165360).

Almost surely, 2^1206006144 is an apocalyptic number.

1206006144 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 1206006144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1941166080).

1206006144 is an abundant number, since it is smaller than the sum of its proper divisors (2676326016).

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

1206006144 is a wasteful number, since it uses less digits than its factorization.

1206006144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 1206006144 is about 34727.5991683848. The cubic root of 1206006144 is about 1064.4285307215.

The spelling of 1206006144 in words is "one billion, two hundred six million, six thousand, one hundred forty-four".