996081408 has 432 divisors, whose sum is σ = 3649030560. Its totient is φ = 266305536.

The previous prime is 996081407. The next prime is 996081409. The reversal of 996081408 is 804180699.

It is an interprime number because it is at equal distance from previous prime (996081407) and next prime (996081409).

It is a tau number, because it is divible by the number of its divisors (432).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (996081407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5757610 + ... + 5757782.

It is an arithmetic number, because the mean of its divisors is an integer number (8446830).

Almost surely, 2^996081408 is an apocalyptic number.

996081408 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 996081408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1824515280).

996081408 is an abundant number, since it is smaller than the sum of its proper divisors (2652949152).

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

996081408 is a wasteful number, since it uses less digits than its factorization.

996081408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 996081408 is about 31560.7574053602. The cubic root of 996081408 is about 998.6920927912.

The spelling of 996081408 in words is "nine hundred ninety-six million, eighty-one thousand, four hundred eight".