85088872 has 16 divisors (see below), whose sum is σ = 174045600. Its totient is φ = 38676720.

The previous prime is 85088869. The next prime is 85088879. The reversal of 85088872 is 27888058.

It is a super-2 number, since 2×85088872² = 14480232276464768, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (85088879) 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 3 ways as a sum of consecutive naturals, for example, 483372 + ... + 483547.

It is an arithmetic number, because the mean of its divisors is an integer number (10877850).

Almost surely, 2^85088872 is an apocalyptic number.

It is an amenable number.

85088872 is an abundant number, since it is smaller than the sum of its proper divisors (88956728).

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

85088872 is a wasteful number, since it uses less digits than its factorization.

85088872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 966936 (or 966932 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 46.

The square root of 85088872 is about 9224.3629590341. The cubic root of 85088872 is about 439.8361511141.

It can be divided in two parts, 8508887 and 2, that added together give a square (8508889 = 2917²).

The spelling of 85088872 in words is "eighty-five million, eighty-eight thousand, eight hundred seventy-two".