986272 has 72 divisors (see below), whose sum is σ = 2456244. Its totient is φ = 387072.

The previous prime is 986267. The next prime is 986281. The reversal of 986272 is 272689.

It can be written as a sum of positive squares in 2 ways, for example, as 853776 + 132496 = 924^2 + 364^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

Its product of digits (12096) is a multiple of the sum of its prime divisors (63).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26638 + ... + 26674.

2⁹⁸⁶²⁷² 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 986272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1228122).

986272 is an abundant number, since it is smaller than the sum of its proper divisors (1469972).

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

986272 is a wasteful number, since it uses less digits than its factorization.

986272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 63 counting only the distinct ones).

The product of its digits is 12096, while the sum is 34.

The square root of 986272 is about 993.1122796542. The cubic root of 986272 is about 99.5402899047.

It can be divided in two parts, 98 and 6272, that multiplied together give a 4-th power (614656 = 28⁴).

The spelling of 986272 in words is "nine hundred eighty-six thousand, two hundred seventy-two".