85024560 has 160 divisors (see below), whose sum is σ = 280124928. Its totient is φ = 21288960.

The previous prime is 85024553. The next prime is 85024567. The reversal of 85024560 is 6542058.

It is an interprime number because it is at equal distance from previous prime (85024553) and next prime (85024567).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (85024567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 402855 + ... + 403065.

Almost surely, 2^85024560 is an apocalyptic number.

85024560 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 85024560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140062464).

85024560 is an abundant number, since it is smaller than the sum of its proper divisors (195100368).

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

85024560 is a wasteful number, since it uses less digits than its factorization.

85024560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 85024560 is about 9220.8763141038. The cubic root of 85024560 is about 439.7253106424.

The spelling of 85024560 in words is "eighty-five million, twenty-four thousand, five hundred sixty".