263700864 has 192 divisors, whose sum is σ = 885025440. Its totient is φ = 73801728.

The previous prime is 263700863. The next prime is 263700901. The reversal of 263700864 is 468007362.

263700864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (263700863) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 427084 + ... + 427700.

Almost surely, 2^263700864 is an apocalyptic number.

263700864 is a gapful number since it is divisible by the number (24) 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 263700864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442512720).

263700864 is an abundant number, since it is smaller than the sum of its proper divisors (621324576).

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

263700864 is a wasteful number, since it uses less digits than its factorization.

263700864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 697 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 263700864 is about 16238.8689261291. The cubic root of 263700864 is about 641.2644792280.

The spelling of 263700864 in words is "two hundred sixty-three million, seven hundred thousand, eight hundred sixty-four".