983961216 has 256 divisors, whose sum is σ = 3363552000. Its totient is φ = 277364736.

The previous prime is 983961191. The next prime is 983961247. The reversal of 983961216 is 612169389.

It is a happy number.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (139968) is a multiple of the sum of its prime factors (576).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2152860 + ... + 2153316.

It is an arithmetic number, because the mean of its divisors is an integer number (13138875).

Almost surely, 2^983961216 is an apocalyptic number.

983961216 is a gapful number since it is divisible by the number (96) 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 983961216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1681776000).

983961216 is an abundant number, since it is smaller than the sum of its proper divisors (2379590784).

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

983961216 is a wasteful number, since it uses less digits than its factorization.

983961216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576 (or 558 counting only the distinct ones).

The product of its digits is 139968, while the sum is 45.

The square root of 983961216 is about 31368.1560822437. The cubic root of 983961216 is about 994.6248987182.

The spelling of 983961216 in words is "nine hundred eighty-three million, nine hundred sixty-one thousand, two hundred sixteen".