9855456 has 96 divisors (see below), whose sum is σ = 28576800. Its totient is φ = 2955264.

The previous prime is 9855451. The next prime is 9855463. The reversal of 9855456 is 6545589.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9855451) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66070 + ... + 66218.

It is an arithmetic number, because the mean of its divisors is an integer number (297675).

Almost surely, 2^9855456 is an apocalyptic number.

9855456 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 9855456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14288400).

9855456 is an abundant number, since it is smaller than the sum of its proper divisors (18721344).

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

9855456 is a wasteful number, since it uses less digits than its factorization.

9855456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 220 counting only the distinct ones).

The product of its digits is 216000, while the sum is 42.

The square root of 9855456 is about 3139.3400580377. The cubic root of 9855456 is about 214.4003916975.

It can be divided in two parts, 985 and 5456, that added together give a triangular number (6441 = T₁₁₃).

The spelling of 9855456 in words is "nine million, eight hundred fifty-five thousand, four hundred fifty-six".