85190976 has 168 divisors, whose sum is σ = 272190464. Its totient is φ = 25297920.

The previous prime is 85190971. The next prime is 85190999. The reversal of 85190976 is 67909158.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85190971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 231945 + ... + 232311.

Almost surely, 2^85190976 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 85190976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136095232).

85190976 is an abundant number, since it is smaller than the sum of its proper divisors (186999488).

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

85190976 is a wasteful number, since it uses less digits than its factorization.

85190976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The square root of 85190976 is about 9229.8957740594. The cubic root of 85190976 is about 440.0120106914.

The spelling of 85190976 in words is "eighty-five million, one hundred ninety thousand, nine hundred seventy-six".