85963540 has 72 divisors (see below), whose sum is σ = 202449240. Its totient is φ = 30610944.

The previous prime is 85963529. The next prime is 85963541. The reversal of 85963540 is 4536958.

It can be written as a sum of positive squares in 12 ways, for example, as 31764496 + 54199044 = 5636^2 + 7362^2 .

It is a junction number, because it is equal to n+sod(n) for n = 85963493 and 85963502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85963541) 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, 97582 + ... + 98458.

It is an arithmetic number, because the mean of its divisors is an integer number (2811795).

Almost surely, 2^85963540 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 85963540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101224620).

85963540 is an abundant number, since it is smaller than the sum of its proper divisors (116485700).

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

85963540 is a wasteful number, since it uses less digits than its factorization.

85963540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 941 (or 926 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 40.

The square root of 85963540 is about 9271.6524956450. The cubic root of 85963540 is about 441.3381096670.

The spelling of 85963540 in words is "eighty-five million, nine hundred sixty-three thousand, five hundred forty".