85670720 has 28 divisors (see below), whose sum is σ = 204004164. Its totient is φ = 34268160.

The previous prime is 85670719. The next prime is 85670723. The reversal of 85670720 is 2707658.

It can be written as a sum of positive squares in 2 ways, for example, as 25080064 + 60590656 = 5008^2 + 7784^2 .

It is a super-3 number, since 3×85670720³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85670723) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 133541 + ... + 134180.

It is an arithmetic number, because the mean of its divisors is an integer number (7285863).

Almost surely, 2^85670720 is an apocalyptic number.

85670720 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85670720 is an abundant number, since it is smaller than the sum of its proper divisors (118333444).

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

85670720 is a wasteful number, since it uses less digits than its factorization.

85670720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267738 (or 267728 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 35.

The square root of 85670720 is about 9255.8478812046. The cubic root of 85670720 is about 440.8364255041.

The spelling of 85670720 in words is "eighty-five million, six hundred seventy thousand, seven hundred twenty".