85563456 has 168 divisors, whose sum is σ = 259445760. Its totient is φ = 24837120.

The previous prime is 85563451. The next prime is 85563461. The reversal of 85563456 is 65436558.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (85563451) and next prime (85563461).

It is a super-2 number, since 2×85563456² = 14642210005327872, which contains 22 as substring.

It is a nialpdrome in base 11.

It is a zygodrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (85563451) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 673665 + ... + 673791.

It is an arithmetic number, because the mean of its divisors is an integer number (1544320).

Almost surely, 2^85563456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85563456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129722880).

85563456 is an abundant number, since it is smaller than the sum of its proper divisors (173882304).

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

85563456 is a wasteful number, since it uses less digits than its factorization.

85563456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 172 counting only the distinct ones).

The product of its digits is 432000, while the sum is 42.

The square root of 85563456 is about 9250.0516755313. The cubic root of 85563456 is about 440.6523656260.

The spelling of 85563456 in words is "eighty-five million, five hundred sixty-three thousand, four hundred fifty-six".