387127120 has 40 divisors (see below), whose sum is σ = 904770216. Its totient is φ = 154042368.

The previous prime is 387127079. The next prime is 387127123. The reversal of 387127120 is 21721783.

It can be written as a sum of positive squares in 4 ways, for example, as 7033104 + 380094016 = 2652^2 + 19496^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (387127123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2904 + ... + 27976.

Almost surely, 2^387127120 is an apocalyptic number.

It is an amenable number.

387127120 is an abundant number, since it is smaller than the sum of its proper divisors (517643096).

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

387127120 is a wasteful number, since it uses less digits than its factorization.

387127120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25279 (or 25273 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 31.

The square root of 387127120 is about 19675.5462440055. The cubic root of 387127120 is about 728.8159450243.

The spelling of 387127120 in words is "three hundred eighty-seven million, one hundred twenty-seven thousand, one hundred twenty".