85013760 has 216 divisors, whose sum is σ = 296249184. Its totient is φ = 20766720.

The previous prime is 85013743. The next prime is 85013777. The reversal of 85013760 is 6731058.

It is an interprime number because it is at equal distance from previous prime (85013743) and next prime (85013777).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 648895 + ... + 649025.

It is an arithmetic number, because the mean of its divisors is an integer number (1371524).

Almost surely, 2^85013760 is an apocalyptic number.

85013760 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 85013760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148124592).

85013760 is an abundant number, since it is smaller than the sum of its proper divisors (211235424).

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

85013760 is a wasteful number, since it uses less digits than its factorization.

85013760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 85013760 is about 9220.2906678694. The cubic root of 85013760 is about 439.7066915734.

The spelling of 85013760 in words is "eighty-five million, thirteen thousand, seven hundred sixty".