85179600 has 300 divisors, whose sum is σ = 334889280. Its totient is φ = 20563200.

The previous prime is 85179581. The next prime is 85179631. The reversal of 85179600 is 697158.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 356281 + ... + 356519.

Almost surely, 2^85179600 is an apocalyptic number.

85179600 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 85179600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167444640).

85179600 is an abundant number, since it is smaller than the sum of its proper divisors (249709680).

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

85179600 is a wasteful number, since it uses less digits than its factorization.

85179600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 85179600 is about 9229.2794951719. The cubic root of 85179600 is about 439.9924241120.

The spelling of 85179600 in words is "eighty-five million, one hundred seventy-nine thousand, six hundred".