973986816 has 352 divisors, whose sum is σ = 3136331520. Its totient is φ = 265420800.

The previous prime is 973986787. The next prime is 973986821. The reversal of 973986816 is 618689379.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

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, 23755756 + ... + 23755796.

Almost surely, 2^973986816 is an apocalyptic number.

973986816 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 973986816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1568165760).

973986816 is an abundant number, since it is smaller than the sum of its proper divisors (2162344704).

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

973986816 is a wasteful number, since it uses less digits than its factorization.

973986816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 113 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 57.

The square root of 973986816 is about 31208.7618466353. The cubic root of 973986816 is about 991.2526455618.

It can be divided in two parts, 973 and 986816, that added together give a palindrome (987789).

The spelling of 973986816 in words is "nine hundred seventy-three million, nine hundred eighty-six thousand, eight hundred sixteen".