1661088000 has 576 divisors, whose sum is σ = 6535436544. Its totient is φ = 371712000.

The previous prime is 1661087941. The next prime is 1661088029. The reversal of 1661088000 is 8801661.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 127775994 + ... + 127776006.

It is an arithmetic number, because the mean of its divisors is an integer number (11346244).

Almost surely, 2^1661088000 is an apocalyptic number.

1661088000 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 1661088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3267718272).

1661088000 is an abundant number, since it is smaller than the sum of its proper divisors (4874348544).

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

1661088000 is an equidigital number, since it uses as much as digits as its factorization.

1661088000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 1661088000 is about 40756.4473427211. The cubic root of 1661088000 is about 1184.3067746592.

Adding to 1661088000 its reverse (8801661), we get a palindrome (1669889661).

It can be divided in two parts, 16 and 61088000, that added together give a palindrome (61088016).

The spelling of 1661088000 in words is "one billion, six hundred sixty-one million, eighty-eight thousand".