85297140 has 72 divisors (see below), whose sum is σ = 263645928. Its totient is φ = 22314240.

The previous prime is 85297139. The next prime is 85297141. The reversal of 85297140 is 4179258.

It is an interprime number because it is at equal distance from previous prime (85297139) and next prime (85297141).

It can be written as a sum of positive squares in 4 ways, for example, as 20848356 + 64448784 = 4566^2 + 8028^2 .

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 = 85297095 and 85297104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85297141) 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, 5070 + ... + 14010.

It is an arithmetic number, because the mean of its divisors is an integer number (3661749).

Almost surely, 2^85297140 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 85297140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131822964).

85297140 is an abundant number, since it is smaller than the sum of its proper divisors (178348788).

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

85297140 is a wasteful number, since it uses less digits than its factorization.

85297140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9009 (or 9004 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 85297140 is about 9235.6450776326. The cubic root of 85297140 is about 440.1947140955.

The spelling of 85297140 in words is "eighty-five million, two hundred ninety-seven thousand, one hundred forty".