996106160 has 160 divisors (see below), whose sum is σ = 2950525440. Its totient is φ = 304459776.

The previous prime is 996106151. The next prime is 996106249. The reversal of 996106160 is 61601699.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 178127 + ... + 183633.

It is an arithmetic number, because the mean of its divisors is an integer number (18440784).

Almost surely, 2^996106160 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 996106160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1475262720).

996106160 is an abundant number, since it is smaller than the sum of its proper divisors (1954419280).

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

996106160 is a wasteful number, since it uses less digits than its factorization.

996106160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5563 (or 5557 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 38.

The square root of 996106160 is about 31561.1495354653. The cubic root of 996106160 is about 998.7003650140.

The spelling of 996106160 in words is "nine hundred ninety-six million, one hundred six thousand, one hundred sixty".