1220465160 has 96 divisors (see below), whose sum is σ = 3973895640. Its totient is φ = 324851712.

The previous prime is 1220465153. The next prime is 1220465177. The reversal of 1220465160 is 615640221.

1220465160 is a `hidden beast` number, since 1 + 2 + 2 + 0 + 4 + 651 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1065761316 + 154703844 = 32646^2 + 12438^2 .

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, 210622 + ... + 216338.

Almost surely, 2^1220465160 is an apocalyptic number.

1220465160 is a gapful number since it is divisible by the number (10) 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 1220465160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1986947820).

1220465160 is an abundant number, since it is smaller than the sum of its proper divisors (2753430480).

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

1220465160 is a wasteful number, since it uses less digits than its factorization.

1220465160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6327 (or 6320 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1220465160 is about 34935.1565045872. The cubic root of 1220465160 is about 1068.6655154310.

The spelling of 1220465160 in words is "one billion, two hundred twenty million, four hundred sixty-five thousand, one hundred sixty".