85613940 has 144 divisors (see below), whose sum is σ = 273262080. Its totient is φ = 21669120.

The previous prime is 85613917. The next prime is 85613977. The reversal of 85613940 is 4931658.

85613940 is a `hidden beast` number, since 8 + 561 + 3 + 94 + 0 = 666.

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 = 85613895 and 85613904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 373746 + ... + 373974.

Almost surely, 2^85613940 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 85613940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136631040).

85613940 is an abundant number, since it is smaller than the sum of its proper divisors (187648140).

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

85613940 is a wasteful number, since it uses less digits than its factorization.

85613940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 85613940 is about 9252.7801227523. The cubic root of 85613940 is about 440.7390128986.

The spelling of 85613940 in words is "eighty-five million, six hundred thirteen thousand, nine hundred forty".