85882368 has 320 divisors, whose sum is σ = 296980992. Its totient is φ = 21626880.

The previous prime is 85882367. The next prime is 85882399. The reversal of 85882368 is 86328858.

It is a super-2 number, since 2×85882368² = 14751562266574848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85882361) 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 31 ways as a sum of consecutive naturals, for example, 3734005 + ... + 3734027.

Almost surely, 2^85882368 is an apocalyptic number.

85882368 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 85882368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148490496).

85882368 is an abundant number, since it is smaller than the sum of its proper divisors (211098624).

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

85882368 is a wasteful number, since it uses less digits than its factorization.

85882368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 69 counting only the distinct ones).

The product of its digits is 737280, while the sum is 48.

The square root of 85882368 is about 9267.2740328535. The cubic root of 85882368 is about 441.1991531637.

The spelling of 85882368 in words is "eighty-five million, eight hundred eighty-two thousand, three hundred sixty-eight".