381616 has 40 divisors (see below), whose sum is σ = 830304. Its totient is φ = 168960.

The previous prime is 381607. The next prime is 381629. The reversal of 381616 is 616183.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6226 + ... + 6286.

2³⁸¹⁶¹⁶ is an apocalyptic number.

381616 is the 391-st heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 381616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415152).

381616 is an abundant number, since it is smaller than the sum of its proper divisors (448688).

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

381616 is a wasteful number, since it uses less digits than its factorization.

381616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 103 counting only the distinct ones).

The product of its digits is 864, while the sum is 25.

The square root of 381616 is about 617.7507588016. The cubic root of 381616 is about 72.5340941505.

Adding to 381616 its reverse (616183), we get a palindrome (997799).

The spelling of 381616 in words is "three hundred eighty-one thousand, six hundred sixteen".