85393940 has 48 divisors (see below), whose sum is σ = 189762048. Its totient is φ = 32212224.

The previous prime is 85393937. The next prime is 85393943. The reversal of 85393940 is 4939358.

It is an interprime number because it is at equal distance from previous prime (85393937) and next prime (85393943).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85393943) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32309 + ... + 34851.

It is an arithmetic number, because the mean of its divisors is an integer number (3953376).

Almost surely, 2^85393940 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 85393940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94881024).

85393940 is an abundant number, since it is smaller than the sum of its proper divisors (104368108).

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

85393940 is a wasteful number, since it uses less digits than its factorization.

85393940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2648 (or 2646 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 41.

The square root of 85393940 is about 9240.8841568326. The cubic root of 85393940 is about 440.3611703973.

The spelling of 85393940 in words is "eighty-five million, three hundred ninety-three thousand, nine hundred forty".