1662661000 has 384 divisors, whose sum is σ = 5298209280. Its totient is φ = 475200000.

The previous prime is 1662660997. The next prime is 1662661009. The reversal of 1662661000 is 1662661.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 1662661000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1662661009) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11010925 + ... + 11011075.

It is an arithmetic number, because the mean of its divisors is an integer number (13797420).

Almost surely, 2^1662661000 is an apocalyptic number.

1662661000 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 1662661000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2649104640).

1662661000 is an abundant number, since it is smaller than the sum of its proper divisors (3635548280).

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

1662661000 is a wasteful number, since it uses less digits than its factorization.

1662661000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 1662661000 is about 40775.7403366266. The cubic root of 1662661000 is about 1184.6804909272.

1662661000 divided by its reverse (1662661) gives a cube (1000 = 10³).

The spelling of 1662661000 in words is "one billion, six hundred sixty-two million, six hundred sixty-one thousand".