1661950080 has 384 divisors, whose sum is σ = 6705953280. Its totient is φ = 371367936.

The previous prime is 1661950027. The next prime is 1661950117. The reversal of 1661950080 is 800591661.

1661950080 is a `hidden beast` number, since 1 + 66 + 19 + 500 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1894602 + ... + 1895478.

It is an arithmetic number, because the mean of its divisors is an integer number (17463420).

Almost surely, 2^1661950080 is an apocalyptic number.

1661950080 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 1661950080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3352976640).

1661950080 is an abundant number, since it is smaller than the sum of its proper divisors (5044003200).

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

1661950080 is a wasteful number, since it uses less digits than its factorization.

1661950080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 956 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 1661950080 is about 40767.0219662904. The cubic root of 1661950080 is about 1184.5116184349.

The spelling of 1661950080 in words is "one billion, six hundred sixty-one million, nine hundred fifty thousand, eighty".