263420640 has 384 divisors, whose sum is σ = 1091543040. Its totient is φ = 58060800.

The previous prime is 263420569. The next prime is 263420657. The reversal of 263420640 is 46024362.

263420640 is a `hidden beast` number, since 2 + 634 + 20 + 6 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 937300 + ... + 937580.

It is an arithmetic number, because the mean of its divisors is an integer number (2842560).

Almost surely, 2^263420640 is an apocalyptic number.

263420640 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 263420640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545771520).

263420640 is an abundant number, since it is smaller than the sum of its proper divisors (828122400).

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

263420640 is a wasteful number, since it uses less digits than its factorization.

263420640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 263420640 is about 16230.2384455682. The cubic root of 263420640 is about 641.0372503082.

It can be divided in two parts, 263 and 420640, that added together give a triangular number (420903 = T₉₁₇).

The spelling of 263420640 in words is "two hundred sixty-three million, four hundred twenty thousand, six hundred forty".