85257360 has 200 divisors, whose sum is σ = 302480640. Its totient is φ = 22249728.

The previous prime is 85257331. The next prime is 85257373. The reversal of 85257360 is 6375258.

85257360 is a `hidden beast` number, since 8 + 525 + 73 + 60 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 382209 + ... + 382431.

Almost surely, 2^85257360 is an apocalyptic number.

85257360 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 85257360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151240320).

85257360 is an abundant number, since it is smaller than the sum of its proper divisors (217223280).

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

85257360 is a wasteful number, since it uses less digits than its factorization.

85257360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 85257360 is about 9233.4912140533. The cubic root of 85257360 is about 440.1262722985.

The spelling of 85257360 in words is "eighty-five million, two hundred fifty-seven thousand, three hundred sixty".