1047039120 has 180 divisors, whose sum is σ = 3677173500. Its totient is φ = 266973696.

The previous prime is 1047039101. The next prime is 1047039173. The reversal of 1047039120 is 219307401.

It can be written as a sum of positive squares in 2 ways, for example, as 238887936 + 808151184 = 15456^2 + 28428^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 379506 + ... + 382254.

Almost surely, 2^1047039120 is an apocalyptic number.

1047039120 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 1047039120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1838586750).

1047039120 is an abundant number, since it is smaller than the sum of its proper divisors (2630134380).

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

1047039120 is a wasteful number, since it uses less digits than its factorization.

1047039120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2814 (or 2782 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 1047039120 is about 32357.9838679730. The cubic root of 1047039120 is about 1015.4400835348.

The spelling of 1047039120 in words is "one billion, forty-seven million, thirty-nine thousand, one hundred twenty".