85481280 has 168 divisors, whose sum is σ = 299081952. Its totient is φ = 22404096.

The previous prime is 85481267. The next prime is 85481293. The reversal of 85481280 is 8218458.

It is an interprime number because it is at equal distance from previous prime (85481267) and next prime (85481293).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 192739 + ... + 193181.

Almost surely, 2^85481280 is an apocalyptic number.

85481280 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 85481280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149540976).

85481280 is an abundant number, since it is smaller than the sum of its proper divisors (213600672).

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

85481280 is a wasteful number, since it uses less digits than its factorization.

85481280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 520 counting only the distinct ones).

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

The square root of 85481280 is about 9245.6086873715. The cubic root of 85481280 is about 440.5112514589.

The spelling of 85481280 in words is "eighty-five million, four hundred eighty-one thousand, two hundred eighty".