85697568 has 192 divisors, whose sum is σ = 278691840. Its totient is φ = 25401600.

The previous prime is 85697567. The next prime is 85697593. The reversal of 85697568 is 86579658.

85697568 is a `hidden beast` number, since 8 + 569 + 75 + 6 + 8 = 666.

It is a super-2 number, since 2×85697568² = 14688146322229248, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (85697567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 674721 + ... + 674847.

It is an arithmetic number, because the mean of its divisors is an integer number (1451520).

Almost surely, 2^85697568 is an apocalyptic number.

85697568 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 85697568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139345920).

85697568 is an abundant number, since it is smaller than the sum of its proper divisors (192994272).

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

85697568 is a wasteful number, since it uses less digits than its factorization.

85697568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 214 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 54.

The square root of 85697568 is about 9257.2980939365. The cubic root of 85697568 is about 440.8824713417.

The spelling of 85697568 in words is "eighty-five million, six hundred ninety-seven thousand, five hundred sixty-eight".