85250880 has 560 divisors, whose sum is σ = 371758464. Its totient is φ = 18247680.

The previous prime is 85250873. The next prime is 85250881. The reversal of 85250880 is 8805258.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85250881) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3706549 + ... + 3706571.

Almost surely, 2^85250880 is an apocalyptic number.

85250880 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 85250880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185879232).

85250880 is an abundant number, since it is smaller than the sum of its proper divisors (286507584).

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

85250880 is a wasteful number, since it uses less digits than its factorization.

85250880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The square root of 85250880 is about 9233.1403108585. The cubic root of 85250880 is about 440.1151213922.

The spelling of 85250880 in words is "eighty-five million, two hundred fifty thousand, eight hundred eighty".