983211264 has 216 divisors, whose sum is σ = 3383392320. Its totient is φ = 280820736.

The previous prime is 983211233. The next prime is 983211293. The reversal of 983211264 is 462112389.

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 337237 + ... + 340139.

Almost surely, 2^983211264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 983211264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1691696160).

983211264 is an abundant number, since it is smaller than the sum of its proper divisors (2400181056).

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

983211264 is a wasteful number, since it uses less digits than its factorization.

983211264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2942 (or 2915 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 983211264 is about 31356.1997697425. The cubic root of 983211264 is about 994.3721412897.

The spelling of 983211264 in words is "nine hundred eighty-three million, two hundred eleven thousand, two hundred sixty-four".