85614760 has 216 divisors, whose sum is σ = 259952490. Its totient is φ = 25280640.

The previous prime is 85614731. The next prime is 85614761. The reversal of 85614760 is 6741658.

It can be written as a sum of positive squares in only one way, i.e., 77053284 + 8561476 = 8778^2 + 2926^2 .

It is not an unprimeable number, because it can be changed into a prime (85614761) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 4506031 + ... + 4506049.

Almost surely, 2^85614760 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85614760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129976245).

85614760 is an abundant number, since it is smaller than the sum of its proper divisors (174337730).

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

85614760 is a wasteful number, since it uses less digits than its factorization.

85614760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 85614760 is about 9252.8244336527. The cubic root of 85614760 is about 440.7404200092.

The spelling of 85614760 in words is "eighty-five million, six hundred fourteen thousand, seven hundred sixty".