1606487040 has 176 divisors, whose sum is σ = 5709656160. Its totient is φ = 428359680.

The previous prime is 1606487027. The next prime is 1606487059. The reversal of 1606487040 is 407846061.

1606487040 is a `hidden beast` number, since 1 + 6 + 0 + 648 + 7 + 0 + 4 + 0 = 666.

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 = 1606486986 and 1606487004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132430 + ... + 144050.

Almost surely, 2^1606487040 is an apocalyptic number.

1606487040 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 1606487040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2854828080).

1606487040 is an abundant number, since it is smaller than the sum of its proper divisors (4103169120).

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

1606487040 is a wasteful number, since it uses less digits than its factorization.

1606487040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11655 (or 11631 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 1606487040 is about 40081.0059753994. The cubic root of 1606487040 is about 1171.1856488432.

The spelling of 1606487040 in words is "one billion, six hundred six million, four hundred eighty-seven thousand, forty".