263761920 has 312 divisors, whose sum is σ = 966013776. Its totient is φ = 69009408.

The previous prime is 263761909. The next prime is 263761951. The reversal of 263761920 is 29167362.

263761920 is a `hidden beast` number, since 2 + 6 + 37 + 619 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4976614 + ... + 4976666.

It is an arithmetic number, because the mean of its divisors is an integer number (3096198).

Almost surely, 2^263761920 is an apocalyptic number.

263761920 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 263761920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483006888).

263761920 is an abundant number, since it is smaller than the sum of its proper divisors (702251856).

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

263761920 is an frugal number, since it uses more digits than its factorization.

263761920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 263761920 is about 16240.7487512122. The cubic root of 263761920 is about 641.3139671491.

The spelling of 263761920 in words is "two hundred sixty-three million, seven hundred sixty-one thousand, nine hundred twenty".