85331400 has 192 divisors, whose sum is σ = 329978880. Its totient is φ = 17721600.

The previous prime is 85331383. The next prime is 85331417. The reversal of 85331400 is 413358.

It is an interprime number because it is at equal distance from previous prime (85331383) and next prime (85331417).

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

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 45277 + ... + 47123.

It is an arithmetic number, because the mean of its divisors is an integer number (1718640).

Almost surely, 2^85331400 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 85331400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164989440).

85331400 is an abundant number, since it is smaller than the sum of its proper divisors (244647480).

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

85331400 is a wasteful number, since it uses less digits than its factorization.

85331400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1884 (or 1875 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 85331400 is about 9237.4996617050. The cubic root of 85331400 is about 440.2536416369.

Adding to 85331400 its reverse (413358), we get a palindrome (85744758).

The spelling of 85331400 in words is "eighty-five million, three hundred thirty-one thousand, four hundred".