1264861080 has 384 divisors, whose sum is σ = 4969036800. Its totient is φ = 272802816.

The previous prime is 1264861079. The next prime is 1264861099. The reversal of 1264861080 is 801684621.

1264861080 is a `hidden beast` number, since 1 + 2 + 648 + 6 + 1 + 0 + 8 + 0 = 666.

1264861080 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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, 8056362 + ... + 8056518.

It is an arithmetic number, because the mean of its divisors is an integer number (12940200).

Almost surely, 2^1264861080 is an apocalyptic number.

1264861080 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 1264861080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2484518400).

1264861080 is an abundant number, since it is smaller than the sum of its proper divisors (3704175720).

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

1264861080 is a wasteful number, since it uses less digits than its factorization.

1264861080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 1264861080 is about 35564.8854911695. The cubic root of 1264861080 is about 1081.4695016737.

The spelling of 1264861080 in words is "one billion, two hundred sixty-four million, eight hundred sixty-one thousand, eighty".