986253840 has 640 divisors, whose sum is σ = 4159733760. Its totient is φ = 211507200.

The previous prime is 986253787. The next prime is 986253841. The reversal of 986253840 is 48352689.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (986253841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9575229 + ... + 9575331.

It is an arithmetic number, because the mean of its divisors is an integer number (6499584).

Almost surely, 2^986253840 is an apocalyptic number.

986253840 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 986253840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2079866880).

986253840 is an abundant number, since it is smaller than the sum of its proper divisors (3173479920).

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

986253840 is a wasteful number, since it uses less digits than its factorization.

986253840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 986253840 is about 31404.6786323312. The cubic root of 986253840 is about 995.3967896343.

The spelling of 986253840 in words is "nine hundred eighty-six million, two hundred fifty-three thousand, eight hundred forty".