85120000 has 220 divisors, whose sum is σ = 255793120. Its totient is φ = 27648000.

The previous prime is 85119997. The next prime is 85120039. The reversal of 85120000 is 2158.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4479991 + ... + 4480009.

It is an arithmetic number, because the mean of its divisors is an integer number (1162696).

Almost surely, 2^85120000 is an apocalyptic number.

85120000 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 85120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127896560).

85120000 is an abundant number, since it is smaller than the sum of its proper divisors (170673120).

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

85120000 is an equidigital number, since it uses as much as digits as its factorization.

85120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 85120000 is about 9226.0500757366. The cubic root of 85120000 is about 439.8897795545.

Adding to 85120000 its reverse (2158), we get a palindrome (85122158).

It can be divided in two parts, 8 and 5120000, that multiplied together give a 4-th power (40960000 = 80⁴).

The spelling of 85120000 in words is "eighty-five million, one hundred twenty thousand".