1264808160 has 864 divisors, whose sum is σ = 5835001536. Its totient is φ = 243302400.

The previous prime is 1264808137. The next prime is 1264808161. The reversal of 1264808160 is 618084621.

1264808160 is a `hidden beast` number, since 1 + 2 + 648 + 0 + 8 + 1 + 6 + 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 not an unprimeable number, because it can be changed into a prime (1264808161) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 20734530 + ... + 20734590.

It is an arithmetic number, because the mean of its divisors is an integer number (6753474).

Almost surely, 2^1264808160 is an apocalyptic number.

1264808160 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 1264808160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2917500768).

1264808160 is an abundant number, since it is smaller than the sum of its proper divisors (4570193376).

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

1264808160 is a wasteful number, since it uses less digits than its factorization.

1264808160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 106 counting only the distinct ones).

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

The square root of 1264808160 is about 35564.1414911143. The cubic root of 1264808160 is about 1081.4544190782.

The spelling of 1264808160 in words is "one billion, two hundred sixty-four million, eight hundred eight thousand, one hundred sixty".