1084413600 has 216 divisors, whose sum is σ = 4025679840. Its totient is φ = 273922560.

The previous prime is 1084413599. The next prime is 1084413679. The reversal of 1084413600 is 63144801.

1084413600 is a `hidden beast` number, since 1 + 0 + 8 + 44 + 13 + 600 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 132837 + ... + 140763.

Almost surely, 2^1084413600 is an apocalyptic number.

1084413600 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 1084413600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2012839920).

1084413600 is an abundant number, since it is smaller than the sum of its proper divisors (2941266240).

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

1084413600 is a wasteful number, since it uses less digits than its factorization.

1084413600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7972 (or 7956 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1084413600 is about 32930.4357699682. The cubic root of 1084413600 is about 1027.3812887877.

The spelling of 1084413600 in words is "one billion, eighty-four million, four hundred thirteen thousand, six hundred".