996408 has 64 divisors (see below), whose sum is σ = 3168000. Its totient is φ = 284256.

The previous prime is 996407. The next prime is 996409. The reversal of 996408 is 804699.

996408 is a `hidden beast` number, since 9 + 9 + 640 + 8 = 666.

996408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (996407) and next prime (996409).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (996403) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1183 + ... + 1841.

It is an arithmetic number, because the mean of its divisors is an integer number (49500).

2⁹⁹⁶⁴⁰⁸ 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 996408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1584000).

996408 is an abundant number, since it is smaller than the sum of its proper divisors (2171592).

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

996408 is a wasteful number, since it uses less digits than its factorization.

996408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681 (or 671 counting only the distinct ones).

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

The square root of 996408 is about 998.2023842889. The cubic root of 996408 is about 99.8801230192.

The spelling of 996408 in words is "nine hundred ninety-six thousand, four hundred eight".