9782001216 has 189 divisors, whose sum is σ = 30457121331. Its totient is φ = 3000351744.

The previous prime is 9782001179. The next prime is 9782001217. The reversal of 9782001216 is 6121002879.

The square root of 9782001216 is 98904.

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 6352727616 + 3429273600 = 79704^2 + 58560^2 .

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

It is not an unprimeable number, because it can be changed into a prime (9782001217) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 30857890 + ... + 30858206.

Almost surely, 2^9782001216 is an apocalyptic number.

9782001216 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

9782001216 is the 98904-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9782001216

9782001216 is an abundant number, since it is smaller than the sum of its proper divisors (20675120115).

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

9782001216 is a wasteful number, since it uses less digits than its factorization.

9782001216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The cubic root of 9782001216 is about 2138.6640580216.

Multiplying 9782001216 by its sum of digits (36), we get a square (352152043776 = 593424²).

9782001216 divided by its sum of digits (36) gives a square (271722256 = 16484²).

The spelling of 9782001216 in words is "nine billion, seven hundred eighty-two million, one thousand, two hundred sixteen".