1264942080 has 264 divisors, whose sum is σ = 4443824112. Its totient is φ = 332660736.

The previous prime is 1264942061. The next prime is 1264942121. The reversal of 1264942080 is 802494621.

1264942080 is a `hidden beast` number, since 1 + 2 + 649 + 4 + 2 + 0 + 8 + 0 = 666.

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 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, 4469619 + ... + 4469901.

Almost surely, 2^1264942080 is an apocalyptic number.

1264942080 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 1264942080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2221912056).

1264942080 is an abundant number, since it is smaller than the sum of its proper divisors (3178882032).

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

1264942080 is a wasteful number, since it uses less digits than its factorization.

1264942080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 390 counting only the distinct ones).

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

The square root of 1264942080 is about 35566.0242366222. The cubic root of 1264942080 is about 1081.4925864644.

The spelling of 1264942080 in words is "one billion, two hundred sixty-four million, nine hundred forty-two thousand, eighty".