864083440 has 40 divisors (see below), whose sum is σ = 2191632048. Its totient is φ = 314211840.

The previous prime is 864083431. The next prime is 864083453. The reversal of 864083440 is 44380468.

864083440 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 (40).

It is a self number, because there is not a number n which added to its sum of digits gives 864083440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 490077 + ... + 491836.

Almost surely, 2^864083440 is an apocalyptic number.

864083440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

864083440 is an abundant number, since it is smaller than the sum of its proper divisors (1327548608).

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

864083440 is a wasteful number, since it uses less digits than its factorization.

864083440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 981937 (or 981931 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 37.

The square root of 864083440 is about 29395.2962223550. The cubic root of 864083440 is about 952.4712905513.

The spelling of 864083440 in words is "eight hundred sixty-four million, eighty-three thousand, four hundred forty".