85923540 has 72 divisors (see below), whose sum is σ = 261451008. Its totient is φ = 22841280.

The previous prime is 85923533. The next prime is 85923553. The reversal of 85923540 is 4532958.

It is a super-2 number, since 2×85923540² = 14765709452263200, which contains 22 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 = 85923495 and 85923504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82825 + ... + 83855.

It is an arithmetic number, because the mean of its divisors is an integer number (3631264).

Almost surely, 2^85923540 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 85923540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130725504).

85923540 is an abundant number, since it is smaller than the sum of its proper divisors (175527468).

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

85923540 is a wasteful number, since it uses less digits than its factorization.

85923540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1509 (or 1504 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 85923540 is about 9269.4951318829. The cubic root of 85923540 is about 441.2696455126.

The spelling of 85923540 in words is "eighty-five million, nine hundred twenty-three thousand, five hundred forty".