85288644 has 144 divisors (see below), whose sum is σ = 265574400. Its totient is φ = 22534848.

The previous prime is 85288627. The next prime is 85288661. The reversal of 85288644 is 44688258.

85288644 is a `hidden beast` number, since 8 + 528 + 86 + 44 = 666.

It is an interprime number because it is at equal distance from previous prime (85288627) and next prime (85288661).

It is a self number, because there is not a number n which added to its sum of digits gives 85288644.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 224847 + ... + 225225.

Almost surely, 2^85288644 is an apocalyptic number.

85288644 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85288644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132787200).

85288644 is an abundant number, since it is smaller than the sum of its proper divisors (180285756).

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

85288644 is a wasteful number, since it uses less digits than its factorization.

85288644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 457 counting only the distinct ones).

The product of its digits is 491520, while the sum is 45.

The square root of 85288644 is about 9235.1851091356. The cubic root of 85288644 is about 440.1800984493.

The spelling of 85288644 in words is "eighty-five million, two hundred eighty-eight thousand, six hundred forty-four".