387620560 has 80 divisors (see below), whose sum is σ = 939314880. Its totient is φ = 148628480.

The previous prime is 387620521. The next prime is 387620561. The reversal of 387620560 is 65026783.

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

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (387620561) 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, 192519 + ... + 194521.

It is an arithmetic number, because the mean of its divisors is an integer number (11741436).

Almost surely, 2^387620560 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 387620560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469657440).

387620560 is an abundant number, since it is smaller than the sum of its proper divisors (551694320).

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

387620560 is a wasteful number, since it uses less digits than its factorization.

387620560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2116 (or 2110 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The square root of 387620560 is about 19688.0816739468. The cubic root of 387620560 is about 729.1254680324.

The spelling of 387620560 in words is "three hundred eighty-seven million, six hundred twenty thousand, five hundred sixty".