85320468 has 36 divisors (see below), whose sum is σ = 215980128. Its totient is φ = 28399440.

The previous prime is 85320437. The next prime is 85320481. The reversal of 85320468 is 86402358.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34183 + ... + 36593.

It is an arithmetic number, because the mean of its divisors is an integer number (5999448).

Almost surely, 2^85320468 is an apocalyptic number.

It is an amenable number.

85320468 is an abundant number, since it is smaller than the sum of its proper divisors (130659660).

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

85320468 is a wasteful number, since it uses less digits than its factorization.

85320468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3404 (or 3399 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 85320468 is about 9236.9079241919. The cubic root of 85320468 is about 440.2348402017.

It can be divided in two parts, 853 and 20468, that added together give a triangular number (21321 = T₂₀₆).

The spelling of 85320468 in words is "eighty-five million, three hundred twenty thousand, four hundred sixty-eight".