1084842720 has 480 divisors, whose sum is σ = 4241559168. Its totient is φ = 259448832.

The previous prime is 1084842713. The next prime is 1084842757. The reversal of 1084842720 is 272484801.

1084842720 is a `hidden beast` number, since 108 + 484 + 2 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 7918492 + ... + 7918628.

Almost surely, 2^1084842720 is an apocalyptic number.

1084842720 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 1084842720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2120779584).

1084842720 is an abundant number, since it is smaller than the sum of its proper divisors (3156716448).

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

1084842720 is a wasteful number, since it uses less digits than its factorization.

1084842720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 1084842720 is about 32936.9506785312. The cubic root of 1084842720 is about 1027.5167880469.

The spelling of 1084842720 in words is "one billion, eighty-four million, eight hundred forty-two thousand, seven hundred twenty".