85432320 has 240 divisors, whose sum is σ = 309188880. Its totient is φ = 22560768.

The previous prime is 85432313. The next prime is 85432337. The reversal of 85432320 is 2323458.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 829389 + ... + 829491.

It is an arithmetic number, because the mean of its divisors is an integer number (1288287).

Almost surely, 2^85432320 is an apocalyptic number.

85432320 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 85432320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154594440).

85432320 is an abundant number, since it is smaller than the sum of its proper divisors (223756560).

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

85432320 is a wasteful number, since it uses less digits than its factorization.

85432320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 85432320 is about 9242.9605646676. The cubic root of 85432320 is about 440.4271334321.

Adding to 85432320 its reverse (2323458), we get a palindrome (87755778).

The spelling of 85432320 in words is "eighty-five million, four hundred thirty-two thousand, three hundred twenty".