996952320 has 576 divisors, whose sum is σ = 4367946240. Its totient is φ = 209682432.

The previous prime is 996952289. The next prime is 996952339. The reversal of 996952320 is 23259699.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3144802 + ... + 3145118.

It is an arithmetic number, because the mean of its divisors is an integer number (7583240).

Almost surely, 2^996952320 is an apocalyptic number.

996952320 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 996952320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2183973120).

996952320 is an abundant number, since it is smaller than the sum of its proper divisors (3370993920).

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

996952320 is a wasteful number, since it uses less digits than its factorization.

996952320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The square root of 996952320 is about 31574.5517782913. The cubic root of 996952320 is about 998.9830728764.

996952320 divided by its sum of digits (45) gives a triangular number (22154496 = T₆₆₅₆).

The spelling of 996952320 in words is "nine hundred ninety-six million, nine hundred fifty-two thousand, three hundred twenty".