85767520 has 96 divisors (see below), whose sum is σ = 216367200. Its totient is φ = 32034816.

The previous prime is 85767467. The next prime is 85767523. The reversal of 85767520 is 2576758.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85767523) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 270402 + ... + 270718.

It is an arithmetic number, because the mean of its divisors is an integer number (2253825).

Almost surely, 2^85767520 is an apocalyptic number.

85767520 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 85767520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108183600).

85767520 is an abundant number, since it is smaller than the sum of its proper divisors (130599680).

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

85767520 is a wasteful number, since it uses less digits than its factorization.

85767520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 40.

The square root of 85767520 is about 9261.0755314920. The cubic root of 85767520 is about 441.0023978219.

The spelling of 85767520 in words is "eighty-five million, seven hundred sixty-seven thousand, five hundred twenty".