85825488 has 80 divisors (see below), whose sum is σ = 254983680. Its totient is φ = 24367488.

The previous prime is 85825477. The next prime is 85825499. The reversal of 85825488 is 88452858.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (85825477) and next prime (85825499).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59431 + ... + 60857.

It is an arithmetic number, because the mean of its divisors is an integer number (3187296).

Almost surely, 2^85825488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85825488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127491840).

85825488 is an abundant number, since it is smaller than the sum of its proper divisors (169158192).

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

85825488 is a wasteful number, since it uses less digits than its factorization.

85825488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1624 (or 1618 counting only the distinct ones).

The product of its digits is 819200, while the sum is 48.

The square root of 85825488 is about 9264.2046609517. The cubic root of 85825488 is about 441.1017294018.

The spelling of 85825488 in words is "eighty-five million, eight hundred twenty-five thousand, four hundred eighty-eight".