381166080 has 160 divisors (see below), whose sum is σ = 1258633728. Its totient is φ = 98304000.

The previous prime is 381166057. The next prime is 381166081. The reversal of 381166080 is 80661183.

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (381166081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 237280 + ... + 238880.

Almost surely, 2^381166080 is an apocalyptic number.

381166080 is a gapful number since it is divisible by the number (30) 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 381166080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629316864).

381166080 is an abundant number, since it is smaller than the sum of its proper divisors (877467648).

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

381166080 is a wasteful number, since it uses less digits than its factorization.

381166080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1658 (or 1642 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 381166080 is about 19523.4751005040. The cubic root of 381166080 is about 725.0557737513.

The spelling of 381166080 in words is "three hundred eighty-one million, one hundred sixty-six thousand, eighty".