85896720 has 640 divisors, whose sum is σ = 399974400. Its totient is φ = 16422912.

The previous prime is 85896703. The next prime is 85896737. The reversal of 85896720 is 2769858.

85896720 is a `hidden beast` number, since 8 + 589 + 67 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (85896703) and next prime (85896737).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3734629 + ... + 3734651.

It is an arithmetic number, because the mean of its divisors is an integer number (624960).

Almost surely, 2^85896720 is an apocalyptic number.

85896720 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 85896720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199987200).

85896720 is an abundant number, since it is smaller than the sum of its proper divisors (314077680).

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

85896720 is a wasteful number, since it uses less digits than its factorization.

85896720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 85896720 is about 9268.0483382425. The cubic root of 85896720 is about 441.2237283965.

The spelling of 85896720 in words is "eighty-five million, eight hundred ninety-six thousand, seven hundred twenty".