1264553640 has 128 divisors (see below), whose sum is σ = 4817376000. Its totient is φ = 289039104.

The previous prime is 1264553627. The next prime is 1264553681. The reversal of 1264553640 is 463554621.

1264553640 is a `hidden beast` number, since 1 + 2 + 6 + 4 + 5 + 5 + 3 + 640 = 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 = 1264553595 and 1264553604.

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, 76075 + ... + 91194.

It is an arithmetic number, because the mean of its divisors is an integer number (37635750).

Almost surely, 2^1264553640 is an apocalyptic number.

1264553640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1264553640 is an abundant number, since it is smaller than the sum of its proper divisors (3552822360).

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

1264553640 is a wasteful number, since it uses less digits than its factorization.

1264553640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167296 (or 167286 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 1264553640 is about 35560.5629876694. The cubic root of 1264553640 is about 1081.3818730978.

The spelling of 1264553640 in words is "one billion, two hundred sixty-four million, five hundred fifty-three thousand, six hundred forty".