313652560 has 80 divisors (see below), whose sum is σ = 789949440. Its totient is φ = 115130880.

The previous prime is 313652557. The next prime is 313652593. The reversal of 313652560 is 65256313.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 197851 + ... + 199429.

It is an arithmetic number, because the mean of its divisors is an integer number (9874368).

Almost surely, 2^313652560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313652560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394974720).

313652560 is an abundant number, since it is smaller than the sum of its proper divisors (476296880).

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

313652560 is a wasteful number, since it uses less digits than its factorization.

313652560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1796 (or 1790 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 31.

The square root of 313652560 is about 17710.2388464978. The cubic root of 313652560 is about 679.4376550352.

It can be divided in two parts, 3136 and 52560, that added together give a square (55696 = 236²).

The spelling of 313652560 in words is "three hundred thirteen million, six hundred fifty-two thousand, five hundred sixty".