85247064 has 144 divisors (see below), whose sum is σ = 273073320. Its totient is φ = 23950080.

The previous prime is 85247051. The next prime is 85247069. The reversal of 85247064 is 46074258.

85247064 is a `hidden beast` number, since 8 + 524 + 70 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85247069) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 257379 + ... + 257709.

Almost surely, 2^85247064 is an apocalyptic number.

85247064 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 85247064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136536660).

85247064 is an abundant number, since it is smaller than the sum of its proper divisors (187826256).

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

85247064 is a wasteful number, since it uses less digits than its factorization.

85247064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 85247064 is about 9232.9336616267. The cubic root of 85247064 is about 440.1085544830.

The spelling of 85247064 in words is "eighty-five million, two hundred forty-seven thousand, sixty-four".