85029120 has 324 divisors, whose sum is σ = 328669068. Its totient is φ = 20275200.

The previous prime is 85029107. The next prime is 85029127. The reversal of 85029120 is 2192058.

It can be written as a sum of positive squares in 2 ways, for example, as 13660416 + 71368704 = 3696^2 + 8448^2 .

It is not an unprimeable number, because it can be changed into a prime (85029127) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1393890 + ... + 1393950.

Almost surely, 2^85029120 is an apocalyptic number.

85029120 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 85029120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164334534).

85029120 is an abundant number, since it is smaller than the sum of its proper divisors (243639948).

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

85029120 is a wasteful number, since it uses less digits than its factorization.

85029120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 85029120 is about 9221.1235757905. The cubic root of 85029120 is about 439.7331715537.

The spelling of 85029120 in words is "eighty-five million, twenty-nine thousand, one hundred twenty".