85541940 has 96 divisors (see below), whose sum is σ = 290344320. Its totient is φ = 20736000.

The previous prime is 85541893. The next prime is 85541959. The reversal of 85541940 is 4914558.

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

It is a junction number, because it is equal to n+sod(n) for n = 85541895 and 85541904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1261 + ... + 13140.

It is an arithmetic number, because the mean of its divisors is an integer number (3024420).

Almost surely, 2^85541940 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 85541940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145172160).

85541940 is an abundant number, since it is smaller than the sum of its proper divisors (204802380).

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

85541940 is a wasteful number, since it uses less digits than its factorization.

85541940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14430 (or 14422 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 85541940 is about 9248.8885818784. Note that the first 3 decimals coincide. The cubic root of 85541940 is about 440.6154266820.

The spelling of 85541940 in words is "eighty-five million, five hundred forty-one thousand, nine hundred forty".