85310400 has 168 divisors, whose sum is σ = 319999360. Its totient is φ = 19491840.

The previous prime is 85310389. The next prime is 85310411. The reversal of 85310400 is 401358.

It is an interprime number because it is at equal distance from previous prime (85310389) and next prime (85310411).

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 32331 + ... + 34869.

Almost surely, 2^85310400 is an apocalyptic number.

85310400 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 85310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159999680).

85310400 is an abundant number, since it is smaller than the sum of its proper divisors (234688960).

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

85310400 is a wasteful number, since it uses less digits than its factorization.

85310400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2571 (or 2556 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 85310400 is about 9236.3629205440. The cubic root of 85310400 is about 440.2175232990.

Adding to 85310400 its reverse (401358), we get a palindrome (85711758).

The spelling of 85310400 in words is "eighty-five million, three hundred ten thousand, four hundred".