1600572960 has 288 divisors, whose sum is σ = 6474529152. Its totient is φ = 365783040.

The previous prime is 1600572949. The next prime is 1600572979. The reversal of 1600572960 is 692750061.

1600572960 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 269220 + ... + 275100.

It is an arithmetic number, because the mean of its divisors is an integer number (22481004).

Almost surely, 2^1600572960 is an apocalyptic number.

1600572960 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 1600572960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3237264576).

1600572960 is an abundant number, since it is smaller than the sum of its proper divisors (4873956192).

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

1600572960 is an equidigital number, since it uses as much as digits as its factorization.

1600572960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5918 (or 5898 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 1600572960 is about 40007.1613589367. The cubic root of 1600572960 is about 1169.7466907237.

The spelling of 1600572960 in words is "one billion, six hundred million, five hundred seventy-two thousand, nine hundred sixty".