263723040 has 672 divisors, whose sum is σ = 1189883520. Its totient is φ = 53747712.

The previous prime is 263723017. The next prime is 263723077. The reversal of 263723040 is 40327362.

263723040 is a `hidden beast` number, since 2 + 637 + 23 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 = 263722995 and 263723013.

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 111 ways as a sum of consecutive naturals, for example, 13880151 + ... + 13880169.

It is an arithmetic number, because the mean of its divisors is an integer number (1770660).

Almost surely, 2^263723040 is an apocalyptic number.

263723040 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 263723040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594941760).

263723040 is an abundant number, since it is smaller than the sum of its proper divisors (926160480).

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

263723040 is a wasteful number, since it uses less digits than its factorization.

263723040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 263723040 is about 16239.5517179508. The cubic root of 263723040 is about 641.2824544978.

The spelling of 263723040 in words is "two hundred sixty-three million, seven hundred twenty-three thousand, forty".