263672640 has 672 divisors, whose sum is σ = 1198229760. Its totient is φ = 51609600.

The previous prime is 263672609. The next prime is 263672653. The reversal of 263672640 is 46276362.

It is a happy number.

263672640 is a `hidden beast` number, since 2 + 6 + 3 + 6 + 7 + 2 + 640 = 666.

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

It is a super-2 number, since 2×263672640² = 139046522169139200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 263672595 and 263672604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6431020 + ... + 6431060.

It is an arithmetic number, because the mean of its divisors is an integer number (1783080).

Almost surely, 2^263672640 is an apocalyptic number.

263672640 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 263672640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599114880).

263672640 is an abundant number, since it is smaller than the sum of its proper divisors (934557120).

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

263672640 is a wasteful number, since it uses less digits than its factorization.

263672640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 263672640 is about 16237.9998768321. Note that the first 3 decimals coincide. The cubic root of 263672640 is about 641.2416001544.

The spelling of 263672640 in words is "two hundred sixty-three million, six hundred seventy-two thousand, six hundred forty".