85518720 has 384 divisors, whose sum is σ = 355816800. Its totient is φ = 19353600.

The previous prime is 85518703. The next prime is 85518749. The reversal of 85518720 is 2781558.

85518720 is a `hidden beast` number, since 8 + 551 + 87 + 20 = 666.

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

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

It is a congruent number.

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, 846670 + ... + 846770.

Almost surely, 2^85518720 is an apocalyptic number.

85518720 is a gapful number since it is divisible by the number (80) 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 85518720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177908400).

85518720 is an abundant number, since it is smaller than the sum of its proper divisors (270298080).

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

85518720 is a wasteful number, since it uses less digits than its factorization.

85518720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The square root of 85518720 is about 9247.6332107194. The cubic root of 85518720 is about 440.5755553391.

It can be divided in two parts, 8551 and 8720, that added together give a palindrome (17271).

The spelling of 85518720 in words is "eighty-five million, five hundred eighteen thousand, seven hundred twenty".