1264516272 has 200 divisors, whose sum is σ = 3902540400. Its totient is φ = 394149888.

The previous prime is 1264516249. The next prime is 1264516289. The reversal of 1264516272 is 2726154621.

It is a happy number.

1264516272 is a `hidden beast` number, since 1 + 2 + 645 + 1 + 6 + 2 + 7 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2191248 + ... + 2191824.

It is an arithmetic number, because the mean of its divisors is an integer number (19512702).

Almost surely, 2^1264516272 is an apocalyptic number.

1264516272 is a gapful number since it is divisible by the number (12) 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 1264516272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1951270200).

1264516272 is an abundant number, since it is smaller than the sum of its proper divisors (2638024128).

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

1264516272 is a wasteful number, since it uses less digits than its factorization.

1264516272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705 (or 690 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 1264516272 is about 35560.0375702839. The cubic root of 1264516272 is about 1081.3712212560.

The spelling of 1264516272 in words is "one billion, two hundred sixty-four million, five hundred sixteen thousand, two hundred seventy-two".