85945920 has 56 divisors (see below), whose sum is σ = 272881344. Its totient is φ = 22918656.

The previous prime is 85945903. The next prime is 85945927. The reversal of 85945920 is 2954958.

It is not an unprimeable number, because it can be changed into a prime (85945927) 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, 43804 + ... + 45723.

Almost surely, 2^85945920 is an apocalyptic number.

85945920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85945920 is an abundant number, since it is smaller than the sum of its proper divisors (186935424).

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

85945920 is a wasteful number, since it uses less digits than its factorization.

85945920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89547 (or 89537 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 42.

The square root of 85945920 is about 9270.7022387735. The cubic root of 85945920 is about 441.3079538247.

The spelling of 85945920 in words is "eighty-five million, nine hundred forty-five thousand, nine hundred twenty".