85881520 has 40 divisors (see below), whose sum is σ = 210187440. Its totient is φ = 32544000.

The previous prime is 85881487. The next prime is 85881527. The reversal of 85881520 is 2518858.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 85881520.

It is not an unprimeable number, because it can be changed into a prime (85881527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26731 + ... + 29770.

It is an arithmetic number, because the mean of its divisors is an integer number (5254686).

Almost surely, 2^85881520 is an apocalyptic number.

85881520 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85881520 is an abundant number, since it is smaller than the sum of its proper divisors (124305920).

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

85881520 is a wasteful number, since it uses less digits than its factorization.

85881520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56533 (or 56527 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 37.

The square root of 85881520 is about 9267.2282803436. The cubic root of 85881520 is about 441.1977010297.

The spelling of 85881520 in words is "eighty-five million, eight hundred eighty-one thousand, five hundred twenty".