986726400 has 360 divisors, whose sum is σ = 3608039904. Its totient is φ = 235929600.

The previous prime is 986726399. The next prime is 986726401. The reversal of 986726400 is 4627689.

It is an interprime number because it is at equal distance from previous prime (986726399) and next prime (986726401).

It is a super-3 number, since 3×986726400³ (a number of 28 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (986726401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13516764 + ... + 13516836.

Almost surely, 2^986726400 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 986726400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1804019952).

986726400 is an abundant number, since it is smaller than the sum of its proper divisors (2621313504).

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

986726400 is a wasteful number, since it uses less digits than its factorization.

986726400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 986726400 is about 31412.2014510285. The cubic root of 986726400 is about 995.5557445200. Note that the first 3 decimals are identical.

The spelling of 986726400 in words is "nine hundred eighty-six million, seven hundred twenty-six thousand, four hundred".