85177848 has 128 divisors (see below), whose sum is σ = 254776320. Its totient is φ = 23224320.

The previous prime is 85177847. The next prime is 85177867. The reversal of 85177848 is 84877158.

It is a super-2 number, since 2×85177848² = 14510531579822208, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 85177797 and 85177806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85177847) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 441240 + ... + 441432.

It is an arithmetic number, because the mean of its divisors is an integer number (1990440).

Almost surely, 2^85177848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85177848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127388160).

85177848 is an abundant number, since it is smaller than the sum of its proper divisors (169598472).

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

85177848 is a wasteful number, since it uses less digits than its factorization.

85177848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 313 counting only the distinct ones).

The product of its digits is 501760, while the sum is 48.

The square root of 85177848 is about 9229.1845793656. The cubic root of 85177848 is about 439.9894074585.

The spelling of 85177848 in words is "eighty-five million, one hundred seventy-seven thousand, eight hundred forty-eight".