986434560 has 132 divisors (see below), whose sum is σ = 3418129728. Its totient is φ = 263036928.

The previous prime is 986434549. The next prime is 986434573. The reversal of 986434560 is 65434689.

986434560 is a `hidden beast` number, since 9 + 86 + 4 + 3 + 4 + 560 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35377 + ... + 56783.

Almost surely, 2^986434560 is an apocalyptic number.

986434560 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 986434560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1709064864).

986434560 is an abundant number, since it is smaller than the sum of its proper divisors (2431695168).

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

986434560 is a wasteful number, since it uses less digits than its factorization.

986434560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21438 (or 21417 counting only the distinct ones).

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

The square root of 986434560 is about 31407.5557788249. Note that the first 3 decimals coincide. The cubic root of 986434560 is about 995.4575843689.

The spelling of 986434560 in words is "nine hundred eighty-six million, four hundred thirty-four thousand, five hundred sixty".