387393006 has 128 divisors (see below), whose sum is σ = 1060770816. Its totient is φ = 91054080.

The previous prime is 387392989. The next prime is 387393029. The reversal of 387393006 is 600393783.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 317710 + ... + 318926.

It is an arithmetic number, because the mean of its divisors is an integer number (8287272).

Almost surely, 2^387393006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 387393006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530385408).

387393006 is an abundant number, since it is smaller than the sum of its proper divisors (673377810).

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

387393006 is a wasteful number, since it uses less digits than its factorization.

387393006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1306.

The product of its (nonzero) digits is 81648, while the sum is 39.

The square root of 387393006 is about 19682.3018470910. The cubic root of 387393006 is about 728.9827615547.

It can be divided in two parts, 387 and 393006, that added together give a palindrome (393393).

The spelling of 387393006 in words is "three hundred eighty-seven million, three hundred ninety-three thousand, six".