1606506600 has 96 divisors (see below), whose sum is σ = 5010304320. Its totient is φ = 425809920.

The previous prime is 1606506581. The next prime is 1606506607. The reversal of 1606506600 is 66056061.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (1606506607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92184 + ... + 108216.

It is an arithmetic number, because the mean of its divisors is an integer number (52190670).

Almost surely, 2^1606506600 is an apocalyptic number.

1606506600 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 1606506600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2505152160).

1606506600 is an abundant number, since it is smaller than the sum of its proper divisors (3403797720).

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

1606506600 is a wasteful number, since it uses less digits than its factorization.

1606506600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16219 (or 16210 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 1606506600 is about 40081.2499805083. The cubic root of 1606506600 is about 1171.1904021336.

The spelling of 1606506600 in words is "one billion, six hundred six million, five hundred six thousand, six hundred".