85197840 has 320 divisors, whose sum is σ = 335978496. Its totient is φ = 17381376.

The previous prime is 85197839. The next prime is 85197841. The reversal of 85197840 is 4879158.

It is an interprime number because it is at equal distance from previous prime (85197839) and next prime (85197841).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 85197792 and 85197801.

It is not an unprimeable number, because it can be changed into a prime (85197841) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1026439 + ... + 1026521.

Almost surely, 2^85197840 is an apocalyptic number.

85197840 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85197840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167989248).

85197840 is an abundant number, since it is smaller than the sum of its proper divisors (250780656).

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

85197840 is a wasteful number, since it uses less digits than its factorization.

85197840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 42.

The square root of 85197840 is about 9230.2676017546. The cubic root of 85197840 is about 440.0238279107.

The spelling of 85197840 in words is "eighty-five million, one hundred ninety-seven thousand, eight hundred forty".