85479768 has 96 divisors (see below), whose sum is σ = 259468560. Its totient is φ = 25194240.

The previous prime is 85479767. The next prime is 85479769. The reversal of 85479768 is 86797458.

85479768 is a `hidden beast` number, since 8 + 547 + 97 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (85479767) and next prime (85479769).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85479761) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27846 + ... + 30762.

Almost surely, 2^85479768 is an apocalyptic number.

85479768 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 85479768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129734280).

85479768 is an abundant number, since it is smaller than the sum of its proper divisors (173988792).

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

85479768 is a wasteful number, since it uses less digits than its factorization.

85479768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2977 (or 2970 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 54.

The square root of 85479768 is about 9245.5269184617. The cubic root of 85479768 is about 440.5086541770.

The spelling of 85479768 in words is "eighty-five million, four hundred seventy-nine thousand, seven hundred sixty-eight".