988512 has 48 divisors (see below), whose sum is σ = 2967552. Its totient is φ = 282240.

The previous prime is 988511. The next prime is 988541. The reversal of 988512 is 215889.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (988511) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64 + ... + 1407.

It is an arithmetic number, because the mean of its divisors is an integer number (61824).

2⁹⁸⁸⁵¹² 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 988512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1483776).

988512 is an abundant number, since it is smaller than the sum of its proper divisors (1979040).

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

988512 is a wasteful number, since it uses less digits than its factorization.

988512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1491 (or 1483 counting only the distinct ones).

The product of its digits is 5760, while the sum is 33.

The square root of 988512 is about 994.2394077887. The cubic root of 988512 is about 99.6155908562.

The spelling of 988512 in words is "nine hundred eighty-eight thousand, five hundred twelve".