85942360 has 64 divisors (see below), whose sum is σ = 222289920. Its totient is φ = 29293440.

The previous prime is 85942357. The next prime is 85942369. The reversal of 85942360 is 6324958.

It is a super-3 number, since 3×85942360³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85942369) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52677 + ... + 54283.

It is an arithmetic number, because the mean of its divisors is an integer number (3473280).

Almost surely, 2^85942360 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 85942360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111144960).

85942360 is an abundant number, since it is smaller than the sum of its proper divisors (136347560).

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

85942360 is a wasteful number, since it uses less digits than its factorization.

85942360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1816 (or 1812 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The square root of 85942360 is about 9270.5102340702. The cubic root of 85942360 is about 441.3018605434.

The spelling of 85942360 in words is "eighty-five million, nine hundred forty-two thousand, three hundred sixty".