863393920 has 32 divisors (see below), whose sum is σ = 2064052620. Its totient is φ = 345357312.

The previous prime is 863393899. The next prime is 863393929. The reversal of 863393920 is 29393368.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 817045056 + 46348864 = 28584^2 + 6808^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×863393920² = 1490898122185932800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (863393929) 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 3 ways as a sum of consecutive naturals, for example, 673887 + ... + 675166.

Almost surely, 2^863393920 is an apocalyptic number.

863393920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

863393920 is an abundant number, since it is smaller than the sum of its proper divisors (1200658700).

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

863393920 is a wasteful number, since it uses less digits than its factorization.

863393920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1349072 (or 1349060 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 43.

The square root of 863393920 is about 29383.5654745982. The cubic root of 863393920 is about 952.2178725975.

The spelling of 863393920 in words is "eight hundred sixty-three million, three hundred ninety-three thousand, nine hundred twenty".