1601606400 has 108 divisors (see below), whose sum is σ = 5285698152. Its totient is φ = 427089920.

The previous prime is 1601606371. The next prime is 1601606441. The reversal of 1601606400 is 46061061.

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, 22509 + ... + 60908.

Almost surely, 2^1601606400 is an apocalyptic number.

1601606400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1601606400 is an abundant number, since it is smaller than the sum of its proper divisors (3684091752).

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

1601606400 is an equidigital number, since it uses as much as digits as its factorization.

1601606400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83446 (or 83427 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 1601606400 is about 40020.0749624485. The cubic root of 1601606400 is about 1169.9983928680.

Adding to 1601606400 its reverse (46061061), we get a palindrome (1647667461).

The spelling of 1601606400 in words is "one billion, six hundred one million, six hundred six thousand, four hundred".