1084272000 has 384 divisors, whose sum is σ = 4190266080. Its totient is φ = 247296000.

The previous prime is 1084271989. The next prime is 1084272001. The reversal of 1084272000 is 2724801.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1084272001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2351770 + ... + 2352230.

Almost surely, 2^1084272000 is an apocalyptic number.

1084272000 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 1084272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2095133040).

1084272000 is an abundant number, since it is smaller than the sum of its proper divisors (3105994080).

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

1084272000 is an equidigital number, since it uses as much as digits as its factorization.

1084272000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 1084272000 is about 32928.2857130462. The cubic root of 1084272000 is about 1027.3365692198.

Adding to 1084272000 its reverse (2724801), we get a palindrome (1086996801).

The spelling of 1084272000 in words is "one billion, eighty-four million, two hundred seventy-two thousand".