1611620000 has 120 divisors (see below), whose sum is σ = 4032874692. Its totient is φ = 633600000.

The previous prime is 1611619993. The next prime is 1611620041. The reversal of 1611620000 is 261161.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 170354704 + 1441265296 = 13052^2 + 37964^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1219340 + ... + 1220660.

Almost surely, 2^1611620000 is an apocalyptic number.

1611620000 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 1611620000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2016437346).

1611620000 is an abundant number, since it is smaller than the sum of its proper divisors (2421254692).

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

1611620000 is an equidigital number, since it uses as much as digits as its factorization.

1611620000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1412 (or 1389 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 1611620000 is about 40144.9872337755. The cubic root of 1611620000 is about 1172.4316922455.

Adding to 1611620000 its reverse (261161), we get a palindrome (1611881161).

The spelling of 1611620000 in words is "one billion, six hundred eleven million, six hundred twenty thousand".