85101940 has 96 divisors (see below), whose sum is σ = 226162944. Its totient is φ = 26127360.

The previous prime is 85101917. The next prime is 85101953. The reversal of 85101940 is 4910158.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 85101899 and 85101908.

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, 112042 + ... + 112798.

It is an arithmetic number, because the mean of its divisors is an integer number (2355864).

Almost surely, 2^85101940 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 85101940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113081472).

85101940 is an abundant number, since it is smaller than the sum of its proper divisors (141061004).

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

85101940 is a wasteful number, since it uses less digits than its factorization.

85101940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 28.

The square root of 85101940 is about 9225.0712734374. The cubic root of 85101940 is about 439.8586667281.

The spelling of 85101940 in words is "eighty-five million, one hundred one thousand, nine hundred forty".