1083726400 has 63 divisors (see below), whose sum is σ = 2669888361. Its totient is φ = 432963840.

The previous prime is 1083726361. The next prime is 1083726409. The reversal of 1083726400 is 46273801.

The square root of 1083726400 is 32920.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 390141504 + 693584896 = 19752^2 + 26336^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1083726409) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1316389 + ... + 1317211.

Almost surely, 2^1083726400 is an apocalyptic number.

1083726400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1083726400 is the 32920-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1083726400

1083726400 is an abundant number, since it is smaller than the sum of its proper divisors (1586161961).

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

1083726400 is an frugal number, since it uses more digits than its factorization.

1083726400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1668 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The cubic root of 1083726400 is about 1027.1642235124.

The spelling of 1083726400 in words is "one billion, eighty-three million, seven hundred twenty-six thousand, four hundred".