263721920 has 252 divisors, whose sum is σ = 808741080. Its totient is φ = 81607680.

The previous prime is 263721907. The next prime is 263721923. The reversal of 263721920 is 29127362.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (263721923) 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 35 ways as a sum of consecutive naturals, for example, 1897211 + ... + 1897349.

It is an arithmetic number, because the mean of its divisors is an integer number (3209290).

Almost surely, 2^263721920 is an apocalyptic number.

263721920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 263721920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404370540).

263721920 is an abundant number, since it is smaller than the sum of its proper divisors (545019160).

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

263721920 is a wasteful number, since it uses less digits than its factorization.

263721920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 32.

The square root of 263721920 is about 16239.5172342037. The cubic root of 263721920 is about 641.2815466800.

The spelling of 263721920 in words is "two hundred sixty-three million, seven hundred twenty-one thousand, nine hundred twenty".