1266693120 has 1056 divisors, whose sum is σ = 6048639360. Its totient is φ = 247726080.

The previous prime is 1266693067. The next prime is 1266693133. The reversal of 1266693120 is 213966621.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a super-3 number, since 3×1266693120³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 74511352 + ... + 74511368.

Almost surely, 2^1266693120 is an apocalyptic number.

1266693120 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 1266693120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3024319680).

1266693120 is an abundant number, since it is smaller than the sum of its proper divisors (4781946240).

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

1266693120 is a wasteful number, since it uses less digits than its factorization.

1266693120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 1266693120 is about 35590.6324754141. The cubic root of 1266693120 is about 1081.9913875970.

The spelling of 1266693120 in words is "one billion, two hundred sixty-six million, six hundred ninety-three thousand, one hundred twenty".