85613760 has 196 divisors, whose sum is σ = 306494688. Its totient is φ = 22768128.

The previous prime is 85613707. The next prime is 85613767. The reversal of 85613760 is 6731658.

85613760 is a `hidden beast` number, since 8 + 561 + 37 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (85613767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 233097 + ... + 233463.

Almost surely, 2^85613760 is an apocalyptic number.

85613760 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 85613760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153247344).

85613760 is an abundant number, since it is smaller than the sum of its proper divisors (220880928).

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

85613760 is an equidigital number, since it uses as much as digits as its factorization.

85613760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 85613760 is about 9252.7703959409. The cubic root of 85613760 is about 440.7387040195.

It can be divided in two parts, 8561 and 3760, that added together give a palindrome (12321).

The spelling of 85613760 in words is "eighty-five million, six hundred thirteen thousand, seven hundred sixty".