263640048 has 160 divisors (see below), whose sum is σ = 833994240. Its totient is φ = 70087680.

The previous prime is 263640037. The next prime is 263640107. The reversal of 263640048 is 840046362.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 389086 + ... + 389762.

It is an arithmetic number, because the mean of its divisors is an integer number (5212464).

Almost surely, 2^263640048 is an apocalyptic number.

263640048 is a gapful number since it is divisible by the number (28) 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 263640048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416997120).

263640048 is an abundant number, since it is smaller than the sum of its proper divisors (570354192).

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

263640048 is a wasteful number, since it uses less digits than its factorization.

263640048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 775 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 263640048 is about 16236.9962739418. The cubic root of 263640048 is about 641.2151782405.

The spelling of 263640048 in words is "two hundred sixty-three million, six hundred forty thousand, forty-eight".