85381280 has 24 divisors (see below), whose sum is σ = 201713652. Its totient is φ = 34152448.

The previous prime is 85381279. The next prime is 85381337. The reversal of 85381280 is 8218358.

It can be written as a sum of positive squares in 2 ways, for example, as 75968656 + 9412624 = 8716^2 + 3068^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 85381280.

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, 266657 + ... + 266976.

Almost surely, 2^85381280 is an apocalyptic number.

85381280 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85381280 is an abundant number, since it is smaller than the sum of its proper divisors (116332372).

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

85381280 is a wasteful number, since it uses less digits than its factorization.

85381280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533648 (or 533640 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 35.

The square root of 85381280 is about 9240.1991320534. The cubic root of 85381280 is about 440.3394075417.

The spelling of 85381280 in words is "eighty-five million, three hundred eighty-one thousand, two hundred eighty".