85647744 has 384 divisors, whose sum is σ = 326726400. Its totient is φ = 20901888.

The previous prime is 85647743. The next prime is 85647767. The reversal of 85647744 is 44774658.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 85647744.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85647743) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1991787 + ... + 1991829.

It is an arithmetic number, because the mean of its divisors is an integer number (850850).

Almost surely, 2^85647744 is an apocalyptic number.

85647744 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 85647744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163363200).

85647744 is an abundant number, since it is smaller than the sum of its proper divisors (241078656).

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

85647744 is a wasteful number, since it uses less digits than its factorization.

85647744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 87 counting only the distinct ones).

The product of its digits is 752640, while the sum is 45.

The square root of 85647744 is about 9254.6066366972. The cubic root of 85647744 is about 440.7970127257.

The spelling of 85647744 in words is "eighty-five million, six hundred forty-seven thousand, seven hundred forty-four".