1661334000 has 160 divisors (see below), whose sum is σ = 5430944064. Its totient is φ = 436838400.

The previous prime is 1661333987. The next prime is 1661334007. The reversal of 1661334000 is 4331661.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1661334007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 436104 + ... + 439896.

Almost surely, 2^1661334000 is an apocalyptic number.

1661334000 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 1661334000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2715472032).

1661334000 is an abundant number, since it is smaller than the sum of its proper divisors (3769610064).

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

1661334000 is a wasteful number, since it uses less digits than its factorization.

1661334000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3892 (or 3876 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 1661334000 is about 40759.4651584144. The cubic root of 1661334000 is about 1184.3652353560.

Adding to 1661334000 its reverse (4331661), we get a palindrome (1665665661).

The spelling of 1661334000 in words is "one billion, six hundred sixty-one million, three hundred thirty-four thousand".