85007468 has 48 divisors (see below), whose sum is σ = 189430080. Its totient is φ = 32465664.

The previous prime is 85007467. The next prime is 85007477. The reversal of 85007468 is 86470058.

It is not an unprimeable number, because it can be changed into a prime (85007467) 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, 6530 + ... + 14582.

It is an arithmetic number, because the mean of its divisors is an integer number (3946460).

Almost surely, 2^85007468 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 85007468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94715040).

85007468 is an abundant number, since it is smaller than the sum of its proper divisors (104422612).

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

85007468 is a wasteful number, since it uses less digits than its factorization.

85007468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8106 (or 8104 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 38.

The square root of 85007468 is about 9219.9494575621. The cubic root of 85007468 is about 439.6958435148.

The spelling of 85007468 in words is "eighty-five million, seven thousand, four hundred sixty-eight".