984687616 has 176 divisors, whose sum is σ = 2334562560. Its totient is φ = 410296320.

The previous prime is 984687593. The next prime is 984687631. The reversal of 984687616 is 616786489.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (176).

It is a super-2 number, since 2×984687616² = 1939219402207526912, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9202635 + ... + 9202741.

It is an arithmetic number, because the mean of its divisors is an integer number (13264560).

Almost surely, 2^984687616 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 984687616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1167281280).

984687616 is an abundant number, since it is smaller than the sum of its proper divisors (1349874944).

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

984687616 is a wasteful number, since it uses less digits than its factorization.

984687616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 182 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 55.

The square root of 984687616 is about 31379.7325673754. The cubic root of 984687616 is about 994.8695959670.

The spelling of 984687616 in words is "nine hundred eighty-four million, six hundred eighty-seven thousand, six hundred sixteen".