1206004500 has 144 divisors (see below), whose sum is σ = 3822017472. Its totient is φ = 320126400.

The previous prime is 1206004487. The next prime is 1206004543. The reversal of 1206004500 is 54006021.

It is a happy number.

1206004500 is a `hidden beast` number, since 1 + 20 + 600 + 45 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1273027 + ... + 1273973.

It is an arithmetic number, because the mean of its divisors is an integer number (26541788).

Almost surely, 2^1206004500 is an apocalyptic number.

1206004500 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 1206004500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1911008736).

1206004500 is an abundant number, since it is smaller than the sum of its proper divisors (2616012972).

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

1206004500 is a wasteful number, since it uses less digits than its factorization.

1206004500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1255 (or 1240 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1206004500 is about 34727.5754984422. The cubic root of 1206004500 is about 1064.4280470530.

The spelling of 1206004500 in words is "one billion, two hundred six million, four thousand, five hundred".