996225120 has 288 divisors, whose sum is σ = 3749185440. Its totient is φ = 238878720.

The previous prime is 996225107. The next prime is 996225121. The reversal of 996225120 is 21522699.

It is a happy number.

996225120 is a `hidden beast` number, since 9 + 9 + 622 + 5 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 (996225121) 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, 1726272 + ... + 1726848.

It is an arithmetic number, because the mean of its divisors is an integer number (13018005).

Almost surely, 2^996225120 is an apocalyptic number.

996225120 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 996225120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1874592720).

996225120 is an abundant number, since it is smaller than the sum of its proper divisors (2752960320).

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

996225120 is a wasteful number, since it uses less digits than its factorization.

996225120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 718 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 996225120 is about 31563.0340746893. The cubic root of 996225120 is about 998.7401200357.

The spelling of 996225120 in words is "nine hundred ninety-six million, two hundred twenty-five thousand, one hundred twenty".