85840920 has 192 divisors, whose sum is σ = 310845600. Its totient is φ = 20367360.

The previous prime is 85840907. The next prime is 85840927. The reversal of 85840920 is 2904858.

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 (85840927) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 209676 + ... + 210084.

Almost surely, 2^85840920 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 85840920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155422800).

85840920 is an abundant number, since it is smaller than the sum of its proper divisors (225004680).

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

85840920 is a wasteful number, since it uses less digits than its factorization.

85840920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 85840920 is about 9265.0375066699. The cubic root of 85840920 is about 441.1281655034.

Adding to 85840920 its product of nonzero digits (23040), we get a triangular number (85863960 = T₁₃₁₀₄).

The spelling of 85840920 in words is "eighty-five million, eight hundred forty thousand, nine hundred twenty".