896616 has 64 divisors (see below), whose sum is σ = 2851200. Its totient is φ = 255744.

The previous prime is 896587. The next prime is 896617. The reversal of 896616 is 616698.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (896617) by changing a digit.

896616 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 15 ways as a sum of consecutive naturals, for example, 1216 + ... + 1808.

It is an arithmetic number, because the mean of its divisors is an integer number (44550).

2⁸⁹⁶⁶¹⁶ 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 896616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1425600).

896616 is an abundant number, since it is smaller than the sum of its proper divisors (1954584).

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

896616 is a wasteful number, since it uses less digits than its factorization.

896616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 605 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 896616 is about 946.8980937778. The cubic root of 896616 is about 96.4277784767.

The spelling of 896616 in words is "eight hundred ninety-six thousand, six hundred sixteen".