85266720 has 288 divisors, whose sum is σ = 363242880. Its totient is φ = 17694720.

The previous prime is 85266719. The next prime is 85266739. The reversal of 85266720 is 2766258.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a nialpdrome in base 15.

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, 110496 + ... + 111264.

It is an arithmetic number, because the mean of its divisors is an integer number (1261260).

Almost surely, 2^85266720 is an apocalyptic number.

85266720 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 85266720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181621440).

85266720 is an abundant number, since it is smaller than the sum of its proper divisors (277976160).

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

85266720 is a wasteful number, since it uses less digits than its factorization.

85266720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 808 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 85266720 is about 9233.9980506821. The cubic root of 85266720 is about 440.1423781658.

Adding to 85266720 its sum of digits (36), we get a square (85266756 = 9234²).

The spelling of 85266720 in words is "eighty-five million, two hundred sixty-six thousand, seven hundred twenty".