1606412736 has 224 divisors, whose sum is σ = 4998720000. Its totient is φ = 511163136.

The previous prime is 1606412729. The next prime is 1606412737. The reversal of 1606412736 is 6372146061.

It is a happy number.

1606412736 is a `hidden beast` number, since 1 + 6 + 0 + 641 + 2 + 7 + 3 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1606412736.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1606412737) 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, 3219015 + ... + 3219513.

Almost surely, 2^1606412736 is an apocalyptic number.

1606412736 is a gapful number since it is divisible by the number (16) 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 1606412736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2499360000).

1606412736 is an abundant number, since it is smaller than the sum of its proper divisors (3392307264).

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

1606412736 is an frugal number, since it uses more digits than its factorization.

1606412736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 1606412736 is about 40080.0790418382. The cubic root of 1606412736 is about 1171.1675918203.

Adding to 1606412736 its reverse (6372146061), we get a palindrome (7978558797).

The spelling of 1606412736 in words is "one billion, six hundred six million, four hundred twelve thousand, seven hundred thirty-six".