387585840 has 80 divisors (see below), whose sum is σ = 1206681696. Its totient is φ = 102912000.

The previous prime is 387585827. The next prime is 387585851. The reversal of 387585840 is 48585783.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 387585840.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 54490 + ... + 61190.

Almost surely, 2^387585840 is an apocalyptic number.

387585840 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 387585840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603340848).

387585840 is an abundant number, since it is smaller than the sum of its proper divisors (819095856).

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

387585840 is a wasteful number, since it uses less digits than its factorization.

387585840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6958 (or 6952 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 48.

The square root of 387585840 is about 19687.1999024747. The cubic root of 387585840 is about 729.1036976081.

The spelling of 387585840 in words is "three hundred eighty-seven million, five hundred eighty-five thousand, eight hundred forty".