85214880 has 216 divisors, whose sum is σ = 313208532. Its totient is φ = 21024768.

The previous prime is 85214849. The next prime is 85214881. The reversal of 85214880 is 8841258.

It can be written as a sum of positive squares in 2 ways, for example, as 84713616 + 501264 = 9204^2 + 708^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (85214881) 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, 1444291 + ... + 1444349.

Almost surely, 2^85214880 is an apocalyptic number.

85214880 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 85214880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156604266).

85214880 is an abundant number, since it is smaller than the sum of its proper divisors (227993652).

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

85214880 is a wasteful number, since it uses less digits than its factorization.

85214880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 85214880 is about 9231.1906057670. The cubic root of 85214880 is about 440.0531616207.

The spelling of 85214880 in words is "eighty-five million, two hundred fourteen thousand, eight hundred eighty".