1264521600 has 432 divisors, whose sum is σ = 4773639780. Its totient is φ = 318658560.

The previous prime is 1264521593. The next prime is 1264521607. The reversal of 1264521600 is 61254621.

1264521600 = T₅₆ + T₅₇ + ... + T₁₉₆₄.

1264521600 is a `hidden beast` number, since 1 + 2 + 6 + 4 + 52 + 1 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (1264521593) and next prime (1264521607).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1264521607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 15235159 + ... + 15235241.

Almost surely, 2^1264521600 is an apocalyptic number.

1264521600 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 1264521600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2386819890).

1264521600 is an abundant number, since it is smaller than the sum of its proper divisors (3509118180).

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

1264521600 is a wasteful number, since it uses less digits than its factorization.

1264521600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1264521600 is about 35560.1124857613. The cubic root of 1264521600 is about 1081.3727400286.

The spelling of 1264521600 in words is "one billion, two hundred sixty-four million, five hundred twenty-one thousand, six hundred".