85345920 has 256 divisors, whose sum is σ = 330480000. Its totient is φ = 20643840.

The previous prime is 85345907. The next prime is 85345921. The reversal of 85345920 is 2954358.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85345921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 189856 + ... + 190304.

Almost surely, 2^85345920 is an apocalyptic number.

85345920 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 85345920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165240000).

85345920 is an abundant number, since it is smaller than the sum of its proper divisors (245134080).

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

85345920 is a wasteful number, since it uses less digits than its factorization.

85345920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 85345920 is about 9238.2855552316. The cubic root of 85345920 is about 440.2786114226.

The spelling of 85345920 in words is "eighty-five million, three hundred forty-five thousand, nine hundred twenty".