386786960 has 80 divisors (see below), whose sum is σ = 1035350400. Its totient is φ = 131632128.

The previous prime is 386786957. The next prime is 386786963. The reversal of 386786960 is 69687683.

It is an interprime number because it is at equal distance from previous prime (386786957) and next prime (386786963).

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (386786963) 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, 75356 + ... + 80324.

It is an arithmetic number, because the mean of its divisors is an integer number (12941880).

Almost surely, 2^386786960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 386786960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517675200).

386786960 is an abundant number, since it is smaller than the sum of its proper divisors (648563440).

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

386786960 is a wasteful number, since it uses less digits than its factorization.

386786960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5128 (or 5122 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 53.

The square root of 386786960 is about 19666.9001116088. The cubic root of 386786960 is about 728.6024176782.

The spelling of 386786960 in words is "three hundred eighty-six million, seven hundred eighty-six thousand, nine hundred sixty".