85232784 has 240 divisors, whose sum is σ = 290457600. Its totient is φ = 21026304.

The previous prime is 85232773. The next prime is 85232801. The reversal of 85232784 is 48723258.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 1078857 + ... + 1078935.

It is an arithmetic number, because the mean of its divisors is an integer number (1210240).

Almost surely, 2^85232784 is an apocalyptic number.

85232784 is a gapful number since it is divisible by the number (84) 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 85232784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145228800).

85232784 is an abundant number, since it is smaller than the sum of its proper divisors (205224816).

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

85232784 is a wasteful number, since it uses less digits than its factorization.

85232784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 123 counting only the distinct ones).

The product of its digits is 107520, while the sum is 39.

The square root of 85232784 is about 9232.1603105665. The cubic root of 85232784 is about 440.0839784612.

The spelling of 85232784 in words is "eighty-five million, two hundred thirty-two thousand, seven hundred eighty-four".