1602069120 has 192 divisors, whose sum is σ = 5857923240. Its totient is φ = 402063360.

The previous prime is 1602069109. The next prime is 1602069143. The reversal of 1602069120 is 219602061.

1602069120 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1385626176 + 216442944 = 37224^2 + 14712^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89740 + ... + 106100.

Almost surely, 2^1602069120 is an apocalyptic number.

1602069120 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 1602069120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2928961620).

1602069120 is an abundant number, since it is smaller than the sum of its proper divisors (4255854120).

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

1602069120 is a wasteful number, since it uses less digits than its factorization.

1602069120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16403 (or 16388 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1602069120 is about 40025.8556435712. The cubic root of 1602069120 is about 1170.1110567384. Note that the first 3 decimals are identical.

The spelling of 1602069120 in words is "one billion, six hundred two million, sixty-nine thousand, one hundred twenty".