1601006000 has 160 divisors (see below), whose sum is σ = 4295992896. Its totient is φ = 572160000.

The previous prime is 1601005981. The next prime is 1601006027. The reversal of 1601006000 is 6001061.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1341404 + ... + 1342596.

Almost surely, 2^1601006000 is an apocalyptic number.

1601006000 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 1601006000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2147996448).

1601006000 is an abundant number, since it is smaller than the sum of its proper divisors (2694986896).

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

1601006000 is a wasteful number, since it uses less digits than its factorization.

1601006000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1288 (or 1272 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 1601006000 is about 40012.5730239883. The cubic root of 1601006000 is about 1169.8521740816.

Adding to 1601006000 its reverse (6001061), we get a palindrome (1607007061).

The spelling of 1601006000 in words is "one billion, six hundred one million, six thousand".