1027266400 has 36 divisors (see below), whose sum is σ = 2507816052. Its totient is φ = 410906240.

The previous prime is 1027266379. The next prime is 1027266433. The reversal of 1027266400 is 46627201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 641242 + ... + 642841.

It is an arithmetic number, because the mean of its divisors is an integer number (69661557).

Almost surely, 2^1027266400 is an apocalyptic number.

1027266400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1027266400 is an abundant number, since it is smaller than the sum of its proper divisors (1480549652).

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

1027266400 is a wasteful number, since it uses less digits than its factorization.

1027266400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1284103 (or 1284090 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 1027266400 is about 32050.9968643723. The cubic root of 1027266400 is about 1009.0074227340.

The spelling of 1027266400 in words is "one billion, twenty-seven million, two hundred sixty-six thousand, four hundred".