85662720 has 396 divisors, whose sum is σ = 350626536. Its totient is φ = 19169280.

The previous prime is 85662713. The next prime is 85662743. The reversal of 85662720 is 2726658.

85662720 is a `hidden beast` number, since 8 + 5 + 6 + 627 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (396).

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 35 ways as a sum of consecutive naturals, for example, 6589434 + ... + 6589446.

Almost surely, 2^85662720 is an apocalyptic number.

85662720 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 85662720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175313268).

85662720 is an abundant number, since it is smaller than the sum of its proper divisors (264963816).

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

85662720 is a wasteful number, since it uses less digits than its factorization.

85662720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 34 counting only the distinct ones).

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

The square root of 85662720 is about 9255.4157118954. The cubic root of 85662720 is about 440.8227031915.

The spelling of 85662720 in words is "eighty-five million, six hundred sixty-two thousand, seven hundred twenty".