1084384900 has 81 divisors (see below), whose sum is σ = 2445910509. Its totient is φ = 417288960.

The previous prime is 1084384877. The next prime is 1084384909. The reversal of 1084384900 is 94834801.

The square root of 1084384900 is 32930.

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

It can be written as a sum of positive squares in 13 ways, for example, as 562353796 + 522031104 = 23714^2 + 22848^2 .

It is a super-2 number, since 2×1084384900² = 2351781222696020000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1084384900.

It is not an unprimeable number, because it can be changed into a prime (1084384909) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 12184056 + ... + 12184144.

Almost surely, 2^1084384900 is an apocalyptic number.

1084384900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1084384900 is the 32930-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1084384900

1084384900 is an abundant number, since it is smaller than the sum of its proper divisors (1361525609).

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

1084384900 is an equidigital number, since it uses as much as digits as its factorization.

1084384900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The cubic root of 1084384900 is about 1027.3722251785.

The spelling of 1084384900 in words is "one billion, eighty-four million, three hundred eighty-four thousand, nine hundred".