85832640 has 84 divisors (see below), whose sum is σ = 295238424. Its totient is φ = 22887936.

The previous prime is 85832629. The next prime is 85832647. The reversal of 85832640 is 4623858.

85832640 is a `hidden beast` number, since 8 + 5 + 8 + 3 + 2 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 85832595 and 85832604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85832647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12022 + ... + 17781.

Almost surely, 2^85832640 is an apocalyptic number.

85832640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85832640 is an abundant number, since it is smaller than the sum of its proper divisors (209405784).

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

85832640 is a wasteful number, since it uses less digits than its factorization.

85832640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29826 (or 29813 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 85832640 is about 9264.5906547456. The cubic root of 85832640 is about 441.1139816749.

The spelling of 85832640 in words is "eighty-five million, eight hundred thirty-two thousand, six hundred forty".