85677144 has 128 divisors (see below), whose sum is σ = 262310400. Its totient is φ = 22763520.

The previous prime is 85677133. The next prime is 85677173. The reversal of 85677144 is 44177658.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 85677096 and 85677105.

It is a congruent number.

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, 374022 + ... + 374250.

It is an arithmetic number, because the mean of its divisors is an integer number (2049300).

Almost surely, 2^85677144 is an apocalyptic number.

85677144 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 85677144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131155200).

85677144 is an abundant number, since it is smaller than the sum of its proper divisors (176633256).

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

85677144 is a wasteful number, since it uses less digits than its factorization.

85677144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 389 counting only the distinct ones).

The product of its digits is 188160, while the sum is 42.

The square root of 85677144 is about 9256.1948985531. The cubic root of 85677144 is about 440.8474439026.

The spelling of 85677144 in words is "eighty-five million, six hundred seventy-seven thousand, one hundred forty-four".