315550080 has 192 divisors, whose sum is σ = 1130547600. Its totient is φ = 84105216.

The previous prime is 315550051. The next prime is 315550091. The reversal of 315550080 is 80055513.

315550080 is a `hidden beast` number, since 3 + 155 + 500 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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 (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 154506 + ... + 156534.

Almost surely, 2^315550080 is an apocalyptic number.

315550080 is a gapful number since it is divisible by the number (30) 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 315550080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565273800).

315550080 is an abundant number, since it is smaller than the sum of its proper divisors (814997520).

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

315550080 is an equidigital number, since it uses as much as digits as its factorization.

315550080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2063 (or 2039 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 315550080 is about 17763.7293381767. The cubic root of 315550080 is about 680.8050442344.

It can be divided in two parts, 3155 and 50080, that added together give a palindrome (53235).

The spelling of 315550080 in words is "three hundred fifteen million, five hundred fifty thousand, eighty".