387206120 has 96 divisors (see below), whose sum is σ = 1029542400. Its totient is φ = 128384640.

The previous prime is 387206119. The next prime is 387206123. The reversal of 387206120 is 21602783.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (387206123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 268361 + ... + 269799.

It is an arithmetic number, because the mean of its divisors is an integer number (10724400).

Almost surely, 2^387206120 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 387206120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514771200).

387206120 is an abundant number, since it is smaller than the sum of its proper divisors (642336280).

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

387206120 is a wasteful number, since it uses less digits than its factorization.

387206120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1519 (or 1484 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 387206120 is about 19677.5537097476. The cubic root of 387206120 is about 728.8655174951.

The spelling of 387206120 in words is "three hundred eighty-seven million, two hundred six thousand, one hundred twenty".