1264237040 has 160 divisors (see below), whose sum is σ = 3346071552. Its totient is φ = 443731200.

The previous prime is 1264237033. The next prime is 1264237057. The reversal of 1264237040 is 407324621.

It is a junction number, because it is equal to n+sod(n) for n = 1264236994 and 1264237012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3300689 + ... + 3301071.

Almost surely, 2^1264237040 is an apocalyptic number.

1264237040 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 1264237040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1673035776).

1264237040 is an abundant number, since it is smaller than the sum of its proper divisors (2081834512).

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

1264237040 is a wasteful number, since it uses less digits than its factorization.

1264237040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 29.

The square root of 1264237040 is about 35556.1111484369. Note that the first 4 decimals coincide. The cubic root of 1264237040 is about 1081.2916188330.

The spelling of 1264237040 in words is "one billion, two hundred sixty-four million, two hundred thirty-seven thousand, forty".