85049920 has 28 divisors (see below), whose sum is σ = 202525884. Its totient is φ = 34019840.

The previous prime is 85049911. The next prime is 85049933. The reversal of 85049920 is 2994058.

It can be written as a sum of positive squares in 2 ways, for example, as 9290304 + 75759616 = 3048^2 + 8704^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 85049920.

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, 132571 + ... + 133210.

Almost surely, 2^85049920 is an apocalyptic number.

85049920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85049920 is an abundant number, since it is smaller than the sum of its proper divisors (117475964).

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

85049920 is a wasteful number, since it uses less digits than its factorization.

85049920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265798 (or 265788 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 37.

The square root of 85049920 is about 9222.2513520290. The cubic root of 85049920 is about 439.7690247777.

The spelling of 85049920 in words is "eighty-five million, forty-nine thousand, nine hundred twenty".