85462560 has 192 divisors, whose sum is σ = 304335360. Its totient is φ = 22394880.

The previous prime is 85462547. The next prime is 85462631. The reversal of 85462560 is 6526458.

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

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, 315225 + ... + 315495.

It is an arithmetic number, because the mean of its divisors is an integer number (1585080).

Almost surely, 2^85462560 is an apocalyptic number.

85462560 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 85462560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152167680).

85462560 is an abundant number, since it is smaller than the sum of its proper divisors (218872800).

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

85462560 is a wasteful number, since it uses less digits than its factorization.

85462560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 85462560 is about 9244.5962594372. The cubic root of 85462560 is about 440.4790924775.

The spelling of 85462560 in words is "eighty-five million, four hundred sixty-two thousand, five hundred sixty".