1601153200 has 60 divisors (see below), whose sum is σ = 3856569880. Its totient is φ = 638830080.

The previous prime is 1601153179. The next prime is 1601153201. The reversal of 1601153200 is 23511061.

It is not an unprimeable number, because it can be changed into a prime (1601153201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 158707 + ... + 168493.

Almost surely, 2^1601153200 is an apocalyptic number.

1601153200 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 1601153200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1928284940).

1601153200 is an abundant number, since it is smaller than the sum of its proper divisors (2255416680).

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

1601153200 is a wasteful number, since it uses less digits than its factorization.

1601153200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10214 (or 10203 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 1601153200 is about 40014.4124035328. The cubic root of 1601153200 is about 1169.8880259070. Note that the first 3 decimals are identical.

Adding to 1601153200 its reverse (23511061), we get a palindrome (1624664261).

The spelling of 1601153200 in words is "one billion, six hundred one million, one hundred fifty-three thousand, two hundred".