512340984 has 128 divisors (see below), whose sum is σ = 1469952000. Its totient is φ = 165255552.

The previous prime is 512340973. The next prime is 512341003. The reversal of 512340984 is 489043215.

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 (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1106337 + ... + 1106799.

It is an arithmetic number, because the mean of its divisors is an integer number (11484000).

Almost surely, 2^512340984 is an apocalyptic number.

512340984 is a gapful number since it is divisible by the number (54) 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 512340984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734976000).

512340984 is an abundant number, since it is smaller than the sum of its proper divisors (957611016).

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

512340984 is a wasteful number, since it uses less digits than its factorization.

512340984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 512340984 is about 22634.9504969638. The cubic root of 512340984 is about 800.1775564226.

The spelling of 512340984 in words is "five hundred twelve million, three hundred forty thousand, nine hundred eighty-four".