1601347200 has 96 divisors (see below), whose sum is σ = 5274468960. Its totient is φ = 427023360.

The previous prime is 1601347183. The next prime is 1601347213. The reversal of 1601347200 is 27431061.

1601347200 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 (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 73804 + ... + 93003.

It is an arithmetic number, because the mean of its divisors is an integer number (54942385).

Almost surely, 2^1601347200 is an apocalyptic number.

1601347200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1601347200 is an abundant number, since it is smaller than the sum of its proper divisors (3673121760).

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

1601347200 is a wasteful number, since it uses less digits than its factorization.

1601347200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166834 (or 166817 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 1601347200 is about 40016.8364566716. The cubic root of 1601347200 is about 1169.9352729186.

Adding to 1601347200 its reverse (27431061), we get a palindrome (1628778261).

The spelling of 1601347200 in words is "one billion, six hundred one million, three hundred forty-seven thousand, two hundred".