85882896 has 240 divisors, whose sum is σ = 284981760. Its totient is φ = 24710400.

The previous prime is 85882879. The next prime is 85882903. The reversal of 85882896 is 69828858.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1620406 + ... + 1620458.

It is an arithmetic number, because the mean of its divisors is an integer number (1187424).

Almost surely, 2^85882896 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 85882896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142490880).

85882896 is an abundant number, since it is smaller than the sum of its proper divisors (199098864).

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

85882896 is a wasteful number, since it uses less digits than its factorization.

85882896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 100 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 54.

The square root of 85882896 is about 9267.3025201512. The cubic root of 85882896 is about 441.2000573178.

The spelling of 85882896 in words is "eighty-five million, eight hundred eighty-two thousand, eight hundred ninety-six".