248626080 has 72 divisors (see below), whose sum is σ = 848441412. Its totient is φ = 66299904.

The previous prime is 248626073. The next prime is 248626109. The reversal of 248626080 is 80626842.

248626080 is a `hidden beast` number, since 2 + 48 + 6 + 2 + 608 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 248251536 + 374544 = 15756^2 + 612^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 84889 + ... + 87768.

Almost surely, 2^248626080 is an apocalyptic number.

248626080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248626080 is an abundant number, since it is smaller than the sum of its proper divisors (599815332).

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

248626080 is a wasteful number, since it uses less digits than its factorization.

248626080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172678 (or 172667 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 248626080 is about 15767.8812780919. The cubic root of 248626080 is about 628.8043839408.

The spelling of 248626080 in words is "two hundred forty-eight million, six hundred twenty-six thousand, eighty".