85093540 has 48 divisors (see below), whose sum is σ = 211276800. Its totient is φ = 28167552.

The previous prime is 85093531. The next prime is 85093549. The reversal of 85093540 is 4539058.

It is an interprime number because it is at equal distance from previous prime (85093531) and next prime (85093549).

It is a junction number, because it is equal to n+sod(n) for n = 85093496 and 85093505.

It is not an unprimeable number, because it can be changed into a prime (85093549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6420 + ... + 14539.

It is an arithmetic number, because the mean of its divisors is an integer number (4401600).

Almost surely, 2^85093540 is an apocalyptic number.

It is an amenable number.

85093540 is an abundant number, since it is smaller than the sum of its proper divisors (126183260).

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

85093540 is a wasteful number, since it uses less digits than its factorization.

85093540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21004 (or 21002 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

The square root of 85093540 is about 9224.6159811669. The cubic root of 85093540 is about 439.8441941463.

The spelling of 85093540 in words is "eighty-five million, ninety-three thousand, five hundred forty".