1605650000 has 120 divisors (see below), whose sum is σ = 4119345720. Its totient is φ = 604160000.

The previous prime is 1605649973. The next prime is 1605650009. The reversal of 1605650000 is 565061.

It can be written as a sum of positive squares in 12 ways, for example, as 1556144704 + 49505296 = 39448^2 + 7036^2 .

It is a super-2 number, since 2×1605650000² = 5156223845000000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1605650009) 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, 849056 + ... + 850944.

It is an arithmetic number, because the mean of its divisors is an integer number (34327881).

Almost surely, 2^1605650000 is an apocalyptic number.

1605650000 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 1605650000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2059672860).

1605650000 is an abundant number, since it is smaller than the sum of its proper divisors (2513695720).

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

1605650000 is an equidigital number, since it uses as much as digits as its factorization.

1605650000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1939 (or 1913 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 1605650000 is about 40070.5627612091. The cubic root of 1605650000 is about 1170.9822029552.

The spelling of 1605650000 in words is "one billion, six hundred five million, six hundred fifty thousand".