996261120 has 216 divisors, whose sum is σ = 3575740896. Its totient is φ = 265586688.

The previous prime is 996261113. The next prime is 996261121. The reversal of 996261120 is 21162699.

996261120 is a `hidden beast` number, since 9 + 9 + 626 + 1 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (996261121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 309439 + ... + 312641.

It is an arithmetic number, because the mean of its divisors is an integer number (16554356).

Almost surely, 2^996261120 is an apocalyptic number.

996261120 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 996261120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1787870448).

996261120 is an abundant number, since it is smaller than the sum of its proper divisors (2579479776).

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

996261120 is an equidigital number, since it uses as much as digits as its factorization.

996261120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3239 (or 3213 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 996261120 is about 31563.6043569172. The cubic root of 996261120 is about 998.7521501852.

The spelling of 996261120 in words is "nine hundred ninety-six million, two hundred sixty-one thousand, one hundred twenty".