1264386240 has 224 divisors, whose sum is σ = 4804013760. Its totient is φ = 311205888.

The previous prime is 1264386239. The next prime is 1264386257. The reversal of 1264386240 is 426834621.

1264386240 is a `hidden beast` number, since 1 + 2 + 643 + 8 + 6 + 2 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1264386195 and 1264386204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106692 + ... + 117948.

It is an arithmetic number, because the mean of its divisors is an integer number (21446490).

Almost surely, 2^1264386240 is an apocalyptic number.

1264386240 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 1264386240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2402006880).

1264386240 is an abundant number, since it is smaller than the sum of its proper divisors (3539627520).

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

1264386240 is a wasteful number, since it uses less digits than its factorization.

1264386240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11296 (or 11280 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 1264386240 is about 35558.2091787536. The cubic root of 1264386240 is about 1081.3341536738.

The spelling of 1264386240 in words is "one billion, two hundred sixty-four million, three hundred eighty-six thousand, two hundred forty".