1264287200 has 72 divisors (see below), whose sum is σ = 3367050120. Its totient is φ = 459737600.

The previous prime is 1264287197. The next prime is 1264287209. The reversal of 1264287200 is 27824621.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1264287209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63035 + ... + 80634.

It is an arithmetic number, because the mean of its divisors is an integer number (46764585).

Almost surely, 2^1264287200 is an apocalyptic number.

1264287200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1264287200 is an abundant number, since it is smaller than the sum of its proper divisors (2102762920).

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

1264287200 is a wasteful number, since it uses less digits than its factorization.

1264287200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143700 (or 143687 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 1264287200 is about 35556.8165054185. The cubic root of 1264287200 is about 1081.3059191234.

The spelling of 1264287200 in words is "one billion, two hundred sixty-four million, two hundred eighty-seven thousand, two hundred".