85782144 has 192 divisors, whose sum is σ = 273490560. Its totient is φ = 23740416.

The previous prime is 85782133. The next prime is 85782149. The reversal of 85782144 is 44128758.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×85782144³ (a number of 25 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85782149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 884304 + ... + 884400.

It is an arithmetic number, because the mean of its divisors is an integer number (1424430).

Almost surely, 2^85782144 is an apocalyptic number.

85782144 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 85782144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136745280).

85782144 is an abundant number, since it is smaller than the sum of its proper divisors (187708416).

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

85782144 is a wasteful number, since it uses less digits than its factorization.

85782144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 156 counting only the distinct ones).

The product of its digits is 71680, while the sum is 39.

The square root of 85782144 is about 9261.8650389649. The cubic root of 85782144 is about 441.0274611269.

The spelling of 85782144 in words is "eighty-five million, seven hundred eighty-two thousand, one hundred forty-four".