985456896 has 144 divisors (see below), whose sum is σ = 2797369344. Its totient is φ = 307259392.

The previous prime is 985456889. The next prime is 985456897. The reversal of 985456896 is 698654589.

It is a super-2 number, since 2×985456896² = 1942250587747909632, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (985456897) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 829615 + ... + 830801.

It is an arithmetic number, because the mean of its divisors is an integer number (19426176).

Almost surely, 2^985456896 is an apocalyptic number.

985456896 is a gapful number since it is divisible by the number (96) 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 985456896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1398684672).

985456896 is an abundant number, since it is smaller than the sum of its proper divisors (1811912448).

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

985456896 is a wasteful number, since it uses less digits than its factorization.

985456896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1276 (or 1262 counting only the distinct ones).

The product of its digits is 18662400, while the sum is 60.

The square root of 985456896 is about 31391.9877675817. The cubic root of 985456896 is about 995.1286067277.

The spelling of 985456896 in words is "nine hundred eighty-five million, four hundred fifty-six thousand, eight hundred ninety-six".