1661352000 has 896 divisors, whose sum is σ = 7303495680. Its totient is φ = 322560000.

The previous prime is 1661351983. The next prime is 1661352041. The reversal of 1661352000 is 2531661.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 53591985 + ... + 53592015.

Almost surely, 2^1661352000 is an apocalyptic number.

1661352000 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 1661352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3651747840).

1661352000 is an abundant number, since it is smaller than the sum of its proper divisors (5642143680).

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

1661352000 is a wasteful number, since it uses less digits than its factorization.

1661352000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 1661352000 is about 40759.6859654242. The cubic root of 1661352000 is about 1184.3695127414.

Adding to 1661352000 its reverse (2531661), we get a palindrome (1663883661).

The spelling of 1661352000 in words is "one billion, six hundred sixty-one million, three hundred fifty-two thousand".