85269280 has 192 divisors, whose sum is σ = 235146240. Its totient is φ = 29016064.

The previous prime is 85269221. The next prime is 85269293. The reversal of 85269280 is 8296258.

It is a super-2 number, since 2×85269280² = 14541700223436800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 1814217 + ... + 1814263.

It is an arithmetic number, because the mean of its divisors is an integer number (1224720).

Almost surely, 2^85269280 is an apocalyptic number.

85269280 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 85269280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117573120).

85269280 is an abundant number, since it is smaller than the sum of its proper divisors (149876960).

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

85269280 is a wasteful number, since it uses less digits than its factorization.

85269280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 40.

The square root of 85269280 is about 9234.1366678212. The cubic root of 85269280 is about 440.1467829840.

The spelling of 85269280 in words is "eighty-five million, two hundred sixty-nine thousand, two hundred eighty".