85340400 has 180 divisors, whose sum is σ = 289983672. Its totient is φ = 21450240.

The previous prime is 85340383. The next prime is 85340401. The reversal of 85340400 is 404358.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85340401) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 433102 + ... + 433298.

Almost surely, 2^85340400 is an apocalyptic number.

85340400 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 85340400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144991836).

85340400 is an abundant number, since it is smaller than the sum of its proper divisors (204643272).

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

85340400 is a wasteful number, since it uses less digits than its factorization.

85340400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 85340400 is about 9237.9867936688. The cubic root of 85340400 is about 440.2691191105.

Adding to 85340400 its reverse (404358), we get a palindrome (85744758).

The spelling of 85340400 in words is "eighty-five million, three hundred forty thousand, four hundred".