85361280 has 128 divisors (see below), whose sum is σ = 284065920. Its totient is φ = 21762048.

The previous prime is 85361219. The next prime is 85361291. The reversal of 85361280 is 8216358.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

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, 43194 + ... + 45126.

It is an arithmetic number, because the mean of its divisors is an integer number (2219265).

Almost surely, 2^85361280 is an apocalyptic number.

85361280 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 85361280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142032960).

85361280 is an abundant number, since it is smaller than the sum of its proper divisors (198704640).

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

85361280 is a wasteful number, since it uses less digits than its factorization.

85361280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1978 (or 1966 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 85361280 is about 9239.1168409107. The cubic root of 85361280 is about 440.3050226590.

The spelling of 85361280 in words is "eighty-five million, three hundred sixty-one thousand, two hundred eighty".