85176960 has 256 divisors, whose sum is σ = 306979200. Its totient is φ = 19906560.

The previous prime is 85176947. The next prime is 85176977. The reversal of 85176960 is 6967158.

It is a super-2 number, since 2×85176960² = 14510229029683200, which contains 22 as substring.

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, 781386 + ... + 781494.

Almost surely, 2^85176960 is an apocalyptic number.

85176960 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 85176960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153489600).

85176960 is an abundant number, since it is smaller than the sum of its proper divisors (221802240).

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

85176960 is a wasteful number, since it uses less digits than its factorization.

85176960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 85176960 is about 9229.1364709815. The cubic root of 85176960 is about 439.9878784539.

The spelling of 85176960 in words is "eighty-five million, one hundred seventy-six thousand, nine hundred sixty".