85288480 has 24 divisors (see below), whose sum is σ = 201494412. Its totient is φ = 34115328.

The previous prime is 85288477. The next prime is 85288493. The reversal of 85288480 is 8488258.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 85155984 + 132496 = 9228^2 + 364^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 266367 + ... + 266686.

Almost surely, 2^85288480 is an apocalyptic number.

85288480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85288480 is an abundant number, since it is smaller than the sum of its proper divisors (116205932).

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

85288480 is a wasteful number, since it uses less digits than its factorization.

85288480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533068 (or 533060 counting only the distinct ones).

The product of its (nonzero) digits is 163840, while the sum is 43.

The square root of 85288480 is about 9235.1762300456. The cubic root of 85288480 is about 440.1798163110.

The spelling of 85288480 in words is "eighty-five million, two hundred eighty-eight thousand, four hundred eighty".