1206268416 has 160 divisors (see below), whose sum is σ = 3623875200. Its totient is φ = 396103680.

The previous prime is 1206268397. The next prime is 1206268417. The reversal of 1206268416 is 6148626021.

1206268416 is a `hidden beast` number, since 1 + 20 + 626 + 8 + 4 + 1 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1206268417) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 980890 + ... + 982118.

It is an arithmetic number, because the mean of its divisors is an integer number (22649220).

Almost surely, 2^1206268416 is an apocalyptic number.

1206268416 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 1206268416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1811937600).

1206268416 is an abundant number, since it is smaller than the sum of its proper divisors (2417606784).

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

1206268416 is an equidigital number, since it uses as much as digits as its factorization.

1206268416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1327 (or 1305 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1206268416 is about 34731.3750951499. The cubic root of 1206268416 is about 1064.5056860954.

The spelling of 1206268416 in words is "one billion, two hundred six million, two hundred sixty-eight thousand, four hundred sixteen".