85226400 has 432 divisors, whose sum is σ = 365601600. Its totient is φ = 18247680.

The previous prime is 85226357. The next prime is 85226411. The reversal of 85226400 is 462258.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 957556 + ... + 957644.

It is an arithmetic number, because the mean of its divisors is an integer number (846300).

Almost surely, 2^85226400 is an apocalyptic number.

85226400 is a gapful number since it is divisible by the number (80) 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 85226400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182800800).

85226400 is an abundant number, since it is smaller than the sum of its proper divisors (280375200).

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

85226400 is a wasteful number, since it uses less digits than its factorization.

85226400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 85226400 is about 9231.8145561964. The cubic root of 85226400 is about 440.0729906459.

Adding to 85226400 its reverse (462258), we get a palindrome (85688658).

The spelling of 85226400 in words is "eighty-five million, two hundred twenty-six thousand, four hundred".