85825480 has 32 divisors (see below), whose sum is σ = 207963000. Its totient is φ = 31689216.

The previous prime is 85825477. The next prime is 85825499. The reversal of 85825480 is 8452858.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 76003524 + 9821956 = 8718^2 + 3134^2 .

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82005 + ... + 83044.

Almost surely, 2^85825480 is an apocalyptic number.

It is an amenable number.

85825480 is an abundant number, since it is smaller than the sum of its proper divisors (122137520).

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

85825480 is a wasteful number, since it uses less digits than its factorization.

85825480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165073 (or 165069 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 40.

The square root of 85825480 is about 9264.2042291823. The cubic root of 85825480 is about 441.1017156964.

The spelling of 85825480 in words is "eighty-five million, eight hundred twenty-five thousand, four hundred eighty".