263625840 has 240 divisors, whose sum is σ = 935940096. Its totient is φ = 68947200.

The previous prime is 263625827. The next prime is 263625881. The reversal of 263625840 is 48526362.

263625840 is a `hidden beast` number, since 26 + 3 + 625 + 8 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 263625795 and 263625804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1380145 + ... + 1380335.

Almost surely, 2^263625840 is an apocalyptic number.

263625840 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 263625840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467970048).

263625840 is an abundant number, since it is smaller than the sum of its proper divisors (672314256).

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

263625840 is a wasteful number, since it uses less digits than its factorization.

263625840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 263625840 is about 16236.5587487004. The cubic root of 263625840 is about 641.2036593167.

The spelling of 263625840 in words is "two hundred sixty-three million, six hundred twenty-five thousand, eight hundred forty".