9992001600 has 945 divisors, whose sum is σ = 44010900167. Its totient is φ = 2149539840.

The previous prime is 9992001577. The next prime is 9992001601. The reversal of 9992001600 is 61002999.

The square root of 9992001600 is 99960.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 233722944 + 9758278656 = 15288^2 + 98784^2 .

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9992001601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 587764792 + ... + 587764808.

Almost surely, 2^9992001600 is an apocalyptic number.

9992001600 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

9992001600 is the 99960-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9992001600

9992001600 is an abundant number, since it is smaller than the sum of its proper divisors (34018898567).

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

9992001600 is a wasteful number, since it uses less digits than its factorization.

9992001600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The cubic root of 9992001600 is about 2153.8601358067.

Multiplying 9992001600 by its sum of digits (36), we get a square (359712057600 = 599760²).

9992001600 divided by its sum of digits (36) gives a square (277555600 = 16660²).

The spelling of 9992001600 in words is "nine billion, nine hundred ninety-two million, one thousand, six hundred".