85329520 has 20 divisors (see below), whose sum is σ = 198391320. Its totient is φ = 34131776.

The previous prime is 85329509. The next prime is 85329521. The reversal of 85329520 is 2592358.

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×85329520² = 14562253966860800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85329521) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 533230 + ... + 533389.

It is an arithmetic number, because the mean of its divisors is an integer number (9919566).

Almost surely, 2^85329520 is an apocalyptic number.

85329520 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85329520 is an abundant number, since it is smaller than the sum of its proper divisors (113061800).

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

85329520 is a wasteful number, since it uses less digits than its factorization.

85329520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1066632 (or 1066626 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

The square root of 85329520 is about 9237.3979020068. The cubic root of 85329520 is about 440.2504084272.

It can be divided in two parts, 85329 and 520, that added together give a square (85849 = 293²).

The spelling of 85329520 in words is "eighty-five million, three hundred twenty-nine thousand, five hundred twenty".