1266613120 has 64 divisors (see below), whose sum is σ = 3039204240. Its totient is φ = 504770560.

The previous prime is 1266613081. The next prime is 1266613163. The reversal of 1266613120 is 213166621.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1266613120² = 3208617591512268800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 176319 + ... + 183361.

Almost surely, 2^1266613120 is an apocalyptic number.

1266613120 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 1266613120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1519602120).

1266613120 is an abundant number, since it is smaller than the sum of its proper divisors (1772591120).

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

1266613120 is an equidigital number, since it uses as much as digits as its factorization.

1266613120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7343 (or 7331 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 1266613120 is about 35589.5085664301. The cubic root of 1266613120 is about 1081.9686088271.

Adding to 1266613120 its reverse (213166621), we get a palindrome (1479779741).

It can be divided in two parts, 1266 and 613120, that added together give a triangular number (614386 = T₁₁₀₈).

The spelling of 1266613120 in words is "one billion, two hundred sixty-six million, six hundred thirteen thousand, one hundred twenty".