1601496000 has 672 divisors, whose sum is σ = 6490411200. Its totient is φ = 374169600.

The previous prime is 1601495977. The next prime is 1601496007. The reversal of 1601496000 is 6941061.

1601496000 is a `hidden beast` number, since 16 + 0 + 1 + 49 + 600 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1601496007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27143971 + ... + 27144029.

It is an arithmetic number, because the mean of its divisors is an integer number (9658350).

Almost surely, 2^1601496000 is an apocalyptic number.

1601496000 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 1601496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3245205600).

1601496000 is an abundant number, since it is smaller than the sum of its proper divisors (4888915200).

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

1601496000 is a wasteful number, since it uses less digits than its factorization.

1601496000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 111 counting only the distinct ones).

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

The square root of 1601496000 is about 40018.6956309173. The cubic root of 1601496000 is about 1169.9715092777.

The spelling of 1601496000 in words is "one billion, six hundred one million, four hundred ninety-six thousand".