85082976 has 144 divisors (see below), whose sum is σ = 267478848. Its totient is φ = 25440000.

The previous prime is 85082971. The next prime is 85082989. The reversal of 85082976 is 67928058.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×85082976² = 14478225610033152, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85082971) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 338851 + ... + 339101.

It is an arithmetic number, because the mean of its divisors is an integer number (1857492).

Almost surely, 2^85082976 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 85082976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133739424).

85082976 is an abundant number, since it is smaller than the sum of its proper divisors (182395872).

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

85082976 is a wasteful number, since it uses less digits than its factorization.

85082976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 85082976 is about 9224.0433650325. The cubic root of 85082976 is about 439.8259917996.

The spelling of 85082976 in words is "eighty-five million, eighty-two thousand, nine hundred seventy-six".