615984 has 40 divisors (see below), whose sum is σ = 1635312. Its totient is φ = 199680.

The previous prime is 615971. The next prime is 615997. The reversal of 615984 is 489516.

615984 = 102² + 103² + ... + 142².

It is an interprime number because it is at equal distance from previous prime (615971) and next prime (615997).

It is a nialpdrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 615984.

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, 1812 + ... + 2124.

2⁶¹⁵⁹⁸⁴ 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 615984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817656).

615984 is an abundant number, since it is smaller than the sum of its proper divisors (1019328).

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

615984 is a wasteful number, since it uses less digits than its factorization.

615984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 359 counting only the distinct ones).

The product of its digits is 8640, while the sum is 33.

The square root of 615984 is about 784.8464818039. The cubic root of 615984 is about 85.0856806170.

The spelling of 615984 in words is "six hundred fifteen thousand, nine hundred eighty-four".