85925280 has 192 divisors, whose sum is σ = 313528320. Its totient is φ = 19375104.

The previous prime is 85925269. The next prime is 85925297. The reversal of 85925280 is 8252958.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 359401 + ... + 359639.

It is an arithmetic number, because the mean of its divisors is an integer number (1632960).

Almost surely, 2^85925280 is an apocalyptic number.

85925280 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 85925280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156764160).

85925280 is an abundant number, since it is smaller than the sum of its proper divisors (227603040).

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

85925280 is a wasteful number, since it uses less digits than its factorization.

85925280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 39.

The square root of 85925280 is about 9269.5889876520. The cubic root of 85925280 is about 441.2726241453.

The spelling of 85925280 in words is "eighty-five million, nine hundred twenty-five thousand, two hundred eighty".