85660740 has 360 divisors, whose sum is σ = 324434880. Its totient is φ = 18817920.

The previous prime is 85660733. The next prime is 85660741. The reversal of 85660740 is 4706658.

It is a happy number.

85660740 is a `hidden beast` number, since 8 + 5 + 6 + 607 + 40 = 666.

It is a super-4 number, since 4×85660740⁴ (a number of 33 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 85660695 and 85660704.

It is not an unprimeable number, because it can be changed into a prime (85660741) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3724369 + ... + 3724391.

It is an arithmetic number, because the mean of its divisors is an integer number (901208).

Almost surely, 2^85660740 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 85660740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162217440).

85660740 is an abundant number, since it is smaller than the sum of its proper divisors (238774140).

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

85660740 is a wasteful number, since it uses less digits than its factorization.

85660740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 85660740 is about 9255.3087468760. The cubic root of 85660740 is about 440.8193067873.

The spelling of 85660740 in words is "eighty-five million, six hundred sixty thousand, seven hundred forty".