85084480 has 112 divisors (see below), whose sum is σ = 221339664. Its totient is φ = 30965760.

The previous prime is 85084469. The next prime is 85084499. The reversal of 85084480 is 8448058.

It can be written as a sum of positive squares in 8 ways, for example, as 54878464 + 30206016 = 7408^2 + 5496^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 469990 + ... + 470170.

It is an arithmetic number, because the mean of its divisors is an integer number (1976247).

Almost surely, 2^85084480 is an apocalyptic number.

85084480 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 85084480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110669832).

85084480 is an abundant number, since it is smaller than the sum of its proper divisors (136255184).

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

85084480 is a wasteful number, since it uses less digits than its factorization.

85084480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 37.

The square root of 85084480 is about 9224.1248907417. The cubic root of 85084480 is about 439.8285833654.

The spelling of 85084480 in words is "eighty-five million, eighty-four thousand, four hundred eighty".