85732560 has 160 divisors (see below), whose sum is σ = 310992000. Its totient is φ = 21648384.

The previous prime is 85732553. The next prime is 85732561. The reversal of 85732560 is 6523758.

85732560 is a `hidden beast` number, since 8 + 573 + 25 + 60 = 666.

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 (85732561) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 39996 + ... + 42084.

It is an arithmetic number, because the mean of its divisors is an integer number (1943700).

Almost surely, 2^85732560 is an apocalyptic number.

85732560 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 85732560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155496000).

85732560 is an abundant number, since it is smaller than the sum of its proper divisors (225259440).

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

85732560 is a wasteful number, since it uses less digits than its factorization.

85732560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2130 (or 2118 counting only the distinct ones).

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

The square root of 85732560 is about 9259.1878693544. The cubic root of 85732560 is about 440.9424701667.

The spelling of 85732560 in words is "eighty-five million, seven hundred thirty-two thousand, five hundred sixty".