1077184420 has 48 divisors (see below), whose sum is σ = 2453956848. Its totient is φ = 394813440.

The previous prime is 1077184411. The next prime is 1077184429. The reversal of 1077184420 is 244817701.

It is an interprime number because it is at equal distance from previous prime (1077184411) and next prime (1077184429).

It can be written as a sum of positive squares in 8 ways, for example, as 174662656 + 902521764 = 13216^2 + 30042^2 .

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1077184429) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 20500 + ... + 50740.

It is an arithmetic number, because the mean of its divisors is an integer number (51124101).

Almost surely, 2^1077184420 is an apocalyptic number.

1077184420 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 1077184420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1226978424).

1077184420 is an abundant number, since it is smaller than the sum of its proper divisors (1376772428).

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

1077184420 is a wasteful number, since it uses less digits than its factorization.

1077184420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30400 (or 30398 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 34.

The square root of 1077184420 is about 32820.4878086844. The cubic root of 1077184420 is about 1025.0932042948.

The spelling of 1077184420 in words is "one billion, seventy-seven million, one hundred eighty-four thousand, four hundred twenty".