996397200 has 480 divisors, whose sum is σ = 3858145920. Its totient is φ = 246343680.

The previous prime is 996397187. The next prime is 996397201. The reversal of 996397200 is 2793699.

996397200 = 190³ + 191³ + ... + 269³.

996397200 is a `hidden beast` number, since 9 + 9 + 639 + 7 + 2 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (996397201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14871567 + ... + 14871633.

It is an arithmetic number, because the mean of its divisors is an integer number (8037804).

Almost surely, 2^996397200 is an apocalyptic number.

996397200 is a gapful number since it is divisible by the number (90) 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 996397200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1929072960).

996397200 is an abundant number, since it is smaller than the sum of its proper divisors (2861748720).

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

996397200 is a wasteful number, since it uses less digits than its factorization.

996397200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 45.

The square root of 996397200 is about 31565.7599306590. The cubic root of 996397200 is about 998.7976215321.

The spelling of 996397200 in words is "nine hundred ninety-six million, three hundred ninety-seven thousand, two hundred".