986534640 has 600 divisors, whose sum is σ = 4310349120. Its totient is φ = 207277056.

The previous prime is 986534617. The next prime is 986534677. The reversal of 986534640 is 46435689.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4127641 + ... + 4127879.

Almost surely, 2^986534640 is an apocalyptic number.

986534640 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 986534640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2155174560).

986534640 is an abundant number, since it is smaller than the sum of its proper divisors (3323814480).

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

986534640 is a wasteful number, since it uses less digits than its factorization.

986534640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 986534640 is about 31409.1489856061. The cubic root of 986534640 is about 995.4912483780.

The spelling of 986534640 in words is "nine hundred eighty-six million, five hundred thirty-four thousand, six hundred forty".