85972776 has 64 divisors (see below), whose sum is σ = 221184000. Its totient is φ = 27834048.

The previous prime is 85972763. The next prime is 85972813. The reversal of 85972776 is 67727958.

It is a super-3 number, since 3×85972776³ (a number of 25 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 224281 + ... + 224663.

It is an arithmetic number, because the mean of its divisors is an integer number (3456000).

Almost surely, 2^85972776 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 85972776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110592000).

85972776 is an abundant number, since it is smaller than the sum of its proper divisors (135211224).

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

85972776 is a wasteful number, since it uses less digits than its factorization.

85972776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 634 counting only the distinct ones).

The product of its digits is 1481760, while the sum is 51.

The square root of 85972776 is about 9272.1505596059. The cubic root of 85972776 is about 441.3539150220.

The spelling of 85972776 in words is "eighty-five million, nine hundred seventy-two thousand, seven hundred seventy-six".