1264126500 has 600 divisors, whose sum is σ = 5181424248. Its totient is φ = 266716800.

The previous prime is 1264126499. The next prime is 1264126517. The reversal of 1264126500 is 56214621.

1264126500 is a `hidden beast` number, since 1 + 2 + 6 + 4 + 1 + 2 + 650 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 199148544 + 1064977956 = 14112^2 + 32634^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 97240494 + ... + 97240506.

Almost surely, 2^1264126500 is an apocalyptic number.

1264126500 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 1264126500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2590712124).

1264126500 is an abundant number, since it is smaller than the sum of its proper divisors (3917297748).

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

1264126500 is an equidigital number, since it uses as much as digits as its factorization.

1264126500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 30 counting only the distinct ones).

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

The square root of 1264126500 is about 35554.5566699966. The cubic root of 1264126500 is about 1081.2601032613.

The spelling of 1264126500 in words is "one billion, two hundred sixty-four million, one hundred twenty-six thousand, five hundred".