85964160 has 64 divisors (see below), whose sum is σ = 274016880. Its totient is φ = 22923264.

The previous prime is 85964159. The next prime is 85964161. The reversal of 85964160 is 6146958.

It is an interprime number because it is at equal distance from previous prime (85964159) and next prime (85964161).

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85964161) 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 7 ways as a sum of consecutive naturals, for example, 20467 + ... + 24306.

Almost surely, 2^85964160 is an apocalyptic number.

85964160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85964160 is an abundant number, since it is smaller than the sum of its proper divisors (188052720).

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

85964160 is a wasteful number, since it uses less digits than its factorization.

85964160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44795 (or 44783 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 85964160 is about 9271.6859308326. The cubic root of 85964160 is about 441.3391706942.

The spelling of 85964160 in words is "eighty-five million, nine hundred sixty-four thousand, one hundred sixty".