85234688 has 176 divisors, whose sum is σ = 226381824. Its totient is φ = 31088640.

The previous prime is 85234679. The next prime is 85234691. The reversal of 85234688 is 88643258.

It is a tau number, because it is divible by the number of its divisors (176).

It is a Harshad number since it is a multiple of its sum of digits (44).

Its product of digits (368640) is a multiple of the sum of its prime divisors (90).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1813481 + ... + 1813527.

Almost surely, 2^85234688 is an apocalyptic number.

85234688 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85234688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113190912).

85234688 is an abundant number, since it is smaller than the sum of its proper divisors (141147136).

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

85234688 is a wasteful number, since it uses less digits than its factorization.

85234688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 90 counting only the distinct ones).

The product of its digits is 368640, while the sum is 44.

The square root of 85234688 is about 9232.2634277841. The cubic root of 85234688 is about 440.0872554227.

The spelling of 85234688 in words is "eighty-five million, two hundred thirty-four thousand, six hundred eighty-eight".