1207565216 has 288 divisors, whose sum is σ = 3193743168. Its totient is φ = 441262080.

The previous prime is 1207565209. The next prime is 1207565237. The reversal of 1207565216 is 6125657021.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28082891 + ... + 28082933.

It is an arithmetic number, because the mean of its divisors is an integer number (11089386).

Almost surely, 2^1207565216 is an apocalyptic number.

1207565216 is a gapful number since it is divisible by the number (16) 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 1207565216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1596871584).

1207565216 is an abundant number, since it is smaller than the sum of its proper divisors (1986177952).

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

1207565216 is a wasteful number, since it uses less digits than its factorization.

1207565216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 35.

The square root of 1207565216 is about 34750.0390791147. The cubic root of 1207565216 is about 1064.8870154263.

The spelling of 1207565216 in words is "one billion, two hundred seven million, five hundred sixty-five thousand, two hundred sixteen".