263625120 has 432 divisors, whose sum is σ = 1058770440. Its totient is φ = 59473920.

The previous prime is 263625113. The next prime is 263625139. The reversal of 263625120 is 21526362.

263625120 is a `hidden beast` number, since 2 + 636 + 2 + 5 + 1 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 207014544 + 56610576 = 14388^2 + 7524^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2962036 + ... + 2962124.

Almost surely, 2^263625120 is an apocalyptic number.

263625120 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 263625120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529385220).

263625120 is an abundant number, since it is smaller than the sum of its proper divisors (795145320).

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

263625120 is a wasteful number, since it uses less digits than its factorization.

263625120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 263625120 is about 16236.5365764993. The cubic root of 263625120 is about 641.2030755764.

The spelling of 263625120 in words is "two hundred sixty-three million, six hundred twenty-five thousand, one hundred twenty".