85464288 has 192 divisors, whose sum is σ = 307077120. Its totient is φ = 22519296.

The previous prime is 85464271. The next prime is 85464293. The reversal of 85464288 is 88246458.

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, 78081 + ... + 79167.

It is an arithmetic number, because the mean of its divisors is an integer number (1599360).

Almost surely, 2^85464288 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 85464288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153538560).

85464288 is an abundant number, since it is smaller than the sum of its proper divisors (221612832).

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

85464288 is a wasteful number, since it uses less digits than its factorization.

85464288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126 (or 1112 counting only the distinct ones).

The product of its digits is 491520, while the sum is 45.

The square root of 85464288 is about 9244.6897189684. The cubic root of 85464288 is about 440.4820611956.

The spelling of 85464288 in words is "eighty-five million, four hundred sixty-four thousand, two hundred eighty-eight".