85372560 has 240 divisors, whose sum is σ = 353144064. Its totient is φ = 17998848.

The previous prime is 85372541. The next prime is 85372583. The reversal of 85372560 is 6527358.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 64869 + ... + 66171.

Almost surely, 2^85372560 is an apocalyptic number.

85372560 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 85372560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176572032).

85372560 is an abundant number, since it is smaller than the sum of its proper divisors (267771504).

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

85372560 is a wasteful number, since it uses less digits than its factorization.

85372560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1342 (or 1333 counting only the distinct ones).

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

The square root of 85372560 is about 9239.7272687023. The cubic root of 85372560 is about 440.3244163932.

The spelling of 85372560 in words is "eighty-five million, three hundred seventy-two thousand, five hundred sixty".