986752 has 32 divisors (see below), whose sum is σ = 2120580. Its totient is φ = 454656.

The previous prime is 986749. The next prime is 986759. The reversal of 986752 is 257689.

It can be written as a sum of positive squares in 2 ways, for example, as 968256 + 18496 = 984^2 + 136^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (986759) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1368 + ... + 1960.

2⁹⁸⁶⁷⁵² 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 986752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1060290).

986752 is an abundant number, since it is smaller than the sum of its proper divisors (1133828).

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

986752 is a wasteful number, since it uses less digits than its factorization.

986752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620 (or 608 counting only the distinct ones).

The product of its digits is 30240, while the sum is 37.

The square root of 986752 is about 993.3539147756. The cubic root of 986752 is about 99.5564354136.

The spelling of 986752 in words is "nine hundred eighty-six thousand, seven hundred fifty-two".