1601064000 has 336 divisors, whose sum is σ = 5891851056. Its totient is φ = 414720000.

The previous prime is 1601063969. The next prime is 1601064043. The reversal of 1601064000 is 4601061.

1601064000 is a `hidden beast` number, since 1 + 601 + 0 + 64 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 57517056 + 1543546944 = 7584^2 + 39288^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 2663700 + ... + 2664300.

It is an arithmetic number, because the mean of its divisors is an integer number (17535271).

Almost surely, 2^1601064000 is an apocalyptic number.

1601064000 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 1601064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2945925528).

1601064000 is an abundant number, since it is smaller than the sum of its proper divisors (4290787056).

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

1601064000 is a wasteful number, since it uses less digits than its factorization.

1601064000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1601064000 is about 40013.2977896099. The cubic root of 1601064000 is about 1169.8663007425.

Adding to 1601064000 its reverse (4601061), we get a palindrome (1605665061).

The spelling of 1601064000 in words is "one billion, six hundred one million, sixty-four thousand".