1264513600 has 189 divisors, whose sum is σ = 3648217113. Its totient is φ = 430133760.

The previous prime is 1264513597. The next prime is 1264513661. The reversal of 1264513600 is 63154621.

The square root of 1264513600 is 35560.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 455224896 + 809288704 = 21336^2 + 28448^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9956737 + ... + 9956863.

Almost surely, 2^1264513600 is an apocalyptic number.

1264513600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1264513600 is the 35560-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1264513600

1264513600 is an abundant number, since it is smaller than the sum of its proper divisors (2383703513).

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

1264513600 is an equidigital number, since it uses as much as digits as its factorization.

1264513600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The cubic root of 1264513600 is about 1081.3704595877.

The spelling of 1264513600 in words is "one billion, two hundred sixty-four million, five hundred thirteen thousand, six hundred".