387630 has 48 divisors (see below), whose sum is σ = 1038960. Its totient is φ = 100224.

The previous prime is 387623. The next prime is 387631. The reversal of 387630 is 36783.

It is a happy number.

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 387594 and 387603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (387631) by changing a digit.

387630 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5274 + ... + 5346.

It is an arithmetic number, because the mean of its divisors is an integer number (21645).

2³⁸⁷⁶³⁰ is an apocalyptic number.

387630 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 387630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519480).

387630 is an abundant number, since it is smaller than the sum of its proper divisors (651330).

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

387630 is a wasteful number, since it uses less digits than its factorization.

387630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 387630 is about 622.5993896560. The cubic root of 387630 is about 72.9131386955.

The spelling of 387630 in words is "three hundred eighty-seven thousand, six hundred thirty".