981688512 has 224 divisors, whose sum is σ = 3116275200. Its totient is φ = 266821632.

The previous prime is 981688493. The next prime is 981688531. The reversal of 981688512 is 215886189.

It is an interprime number because it is at equal distance from previous prime (981688493) and next prime (981688531).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3468723 + ... + 3469005.

Almost surely, 2^981688512 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 981688512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1558137600).

981688512 is an abundant number, since it is smaller than the sum of its proper divisors (2134586688).

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

981688512 is a wasteful number, since it uses less digits than its factorization.

981688512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 413 counting only the distinct ones).

The product of its digits is 276480, while the sum is 48.

The square root of 981688512 is about 31331.9088470524. The cubic root of 981688512 is about 993.8585302297.

The spelling of 981688512 in words is "nine hundred eighty-one million, six hundred eighty-eight thousand, five hundred twelve".