85305480 has 128 divisors (see below), whose sum is σ = 278208000. Its totient is φ = 20800512.

The previous prime is 85305469. The next prime is 85305503. The reversal of 85305480 is 8450358.

85305480 = T₅₅ + T₅₆ + ... + T₇₉₉.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 232257 + ... + 232623.

It is an arithmetic number, because the mean of its divisors is an integer number (2173500).

Almost surely, 2^85305480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85305480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139104000).

85305480 is an abundant number, since it is smaller than the sum of its proper divisors (192902520).

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

85305480 is a wasteful number, since it uses less digits than its factorization.

85305480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 85305480 is about 9236.0965781005. The cubic root of 85305480 is about 440.2090604315.

The spelling of 85305480 in words is "eighty-five million, three hundred five thousand, four hundred eighty".