263038080 has 64 divisors (see below), whose sum is σ = 838440000. Its totient is φ = 70142976.

The previous prime is 263038079. The next prime is 263038081. The reversal of 263038080 is 80830362.

It is an interprime number because it is at equal distance from previous prime (263038079) and next prime (263038081).

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (263038081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66580 + ... + 70419.

It is an arithmetic number, because the mean of its divisors is an integer number (13100625).

Almost surely, 2^263038080 is an apocalyptic number.

263038080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

263038080 is an abundant number, since it is smaller than the sum of its proper divisors (575401920).

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

263038080 is a wasteful number, since it uses less digits than its factorization.

263038080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137021 (or 137009 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 263038080 is about 16218.4487544278. The cubic root of 263038080 is about 640.7267785308.

The spelling of 263038080 in words is "two hundred sixty-three million, thirty-eight thousand, eighty".