64085040 has 80 divisors (see below), whose sum is σ = 220744800. Its totient is φ = 17088768.

The previous prime is 64085039. The next prime is 64085059. The reversal of 64085040 is 4058046.

64085040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 64084995 and 64085013.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 12675 + ... + 16994.

It is an arithmetic number, because the mean of its divisors is an integer number (2759310).

Almost surely, 2^64085040 is an apocalyptic number.

64085040 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

64085040 is an abundant number, since it is smaller than the sum of its proper divisors (156659760).

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

64085040 is a wasteful number, since it uses less digits than its factorization.

64085040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29691 (or 29679 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 64085040 is about 8005.3132355955. The cubic root of 64085040 is about 400.1770882545.

The spelling of 64085040 in words is "sixty-four million, eighty-five thousand, forty".