85420720 has 160 divisors (see below), whose sum is σ = 253555200. Its totient is φ = 26530560.

The previous prime is 85420711. The next prime is 85420721. The reversal of 85420720 is 2702458.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (85420721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 301699 + ... + 301981.

It is an arithmetic number, because the mean of its divisors is an integer number (1584720).

Almost surely, 2^85420720 is an apocalyptic number.

85420720 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 85420720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126777600).

85420720 is an abundant number, since it is smaller than the sum of its proper divisors (168134480).

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

85420720 is a wasteful number, since it uses less digits than its factorization.

85420720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 28.

The square root of 85420720 is about 9242.3330387949. Note that the first 3 decimals coincide. The cubic root of 85420720 is about 440.4071987985.

The spelling of 85420720 in words is "eighty-five million, four hundred twenty thousand, seven hundred twenty".