1264863600 has 1080 divisors, whose sum is σ = 6145356672. Its totient is φ = 242611200.

The previous prime is 1264863559. The next prime is 1264863629. The reversal of 1264863600 is 63684621.

1264863600 = 385² + 386² + ... + 1567².

1264863600 is a `hidden beast` number, since 1 + 2 + 6 + 48 + 6 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

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

It is a congruent number.

It is an unprimeable number.

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 215 ways as a sum of consecutive naturals, for example, 97297194 + ... + 97297206.

Almost surely, 2^1264863600 is an apocalyptic number.

1264863600 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 1264863600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3072678336).

1264863600 is an abundant number, since it is smaller than the sum of its proper divisors (4880493072).

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

1264863600 is a wasteful number, since it uses less digits than its factorization.

1264863600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 1264863600 is about 35564.9209193554. The cubic root of 1264863600 is about 1081.4702198821.

The spelling of 1264863600 in words is "one billion, two hundred sixty-four million, eight hundred sixty-three thousand, six hundred".