986400 has 108 divisors (see below), whose sum is σ = 3503682. Its totient is φ = 261120.

The previous prime is 986369. The next prime is 986411. The reversal of 986400 is 4689.

It can be written as a sum of positive squares in 3 ways, for example, as 767376 + 219024 = 876^2 + 468^2 .

It is a nialpdrome in base 10.

It is an unprimeable number.

986400 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7132 + ... + 7268.

2⁹⁸⁶⁴⁰⁰ is an apocalyptic number.

986400 is a gapful number since it is divisible by the number (90) 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 986400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1751841).

986400 is an abundant number, since it is smaller than the sum of its proper divisors (2517282).

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

986400 is a wasteful number, since it uses less digits than its factorization.

986400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 986400 is about 993.1767214348. The cubic root of 986400 is about 99.5445958858.

The spelling of 986400 in words is "nine hundred eighty-six thousand, four hundred".