996945408 has 140 divisors (see below), whose sum is σ = 2987667408. Its totient is φ = 332190720.

The previous prime is 996945403. The next prime is 996945413. The reversal of 996945408 is 804549699.

996945408 is a `hidden beast` number, since 9 + 9 + 6 + 94 + 540 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (996945403) and next prime (996945413).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (996945401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 371913 + ... + 374583.

Almost surely, 2^996945408 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 996945408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1493833704).

996945408 is an abundant number, since it is smaller than the sum of its proper divisors (1990722000).

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

996945408 is an frugal number, since it uses more digits than its factorization.

996945408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2707 (or 2676 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The square root of 996945408 is about 31574.4423228661. The cubic root of 996945408 is about 998.9807641779.

The spelling of 996945408 in words is "nine hundred ninety-six million, nine hundred forty-five thousand, four hundred eight".