981640512 has 112 divisors (see below), whose sum is σ = 2895478080. Its totient is φ = 326121984.

The previous prime is 981640493. The next prime is 981640547. The reversal of 981640512 is 215046189.

981640512 is a `hidden beast` number, since 9 + 8 + 1 + 640 + 5 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 643783 + ... + 645305.

Almost surely, 2^981640512 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 981640512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1447739040).

981640512 is an abundant number, since it is smaller than the sum of its proper divisors (1913837568).

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

981640512 is a wasteful number, since it uses less digits than its factorization.

981640512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1917 (or 1901 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 981640512 is about 31331.1428454182. The cubic root of 981640512 is about 993.8423316132.

The spelling of 981640512 in words is "nine hundred eighty-one million, six hundred forty thousand, five hundred twelve".