85526388 has 96 divisors (see below), whose sum is σ = 241315200. Its totient is φ = 26085888.

The previous prime is 85526383. The next prime is 85526393. The reversal of 85526388 is 88362558.

It is a happy number.

85526388 is a `hidden beast` number, since 8 + 5 + 5 + 2 + 638 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (85526383) and next prime (85526393).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85526381) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67303 + ... + 68561.

It is an arithmetic number, because the mean of its divisors is an integer number (2513700).

Almost surely, 2^85526388 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 85526388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120657600).

85526388 is an abundant number, since it is smaller than the sum of its proper divisors (155788812).

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

85526388 is a wasteful number, since it uses less digits than its factorization.

85526388 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1326 (or 1318 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The square root of 85526388 is about 9248.0477939941. The cubic root of 85526388 is about 440.5887229527.

The spelling of 85526388 in words is "eighty-five million, five hundred twenty-six thousand, three hundred eighty-eight".