1608600672 has 72 divisors (see below), whose sum is σ = 5227958736. Its totient is φ = 459599616.

The previous prime is 1608600671. The next prime is 1608600689. The reversal of 1608600672 is 2760068061.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×1608600672² = 5175192243917703168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1608600671) 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, 396943 + ... + 400974.

It is an arithmetic number, because the mean of its divisors is an integer number (72610538).

Almost surely, 2^1608600672 is an apocalyptic number.

1608600672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1608600672 is an abundant number, since it is smaller than the sum of its proper divisors (3619358064).

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

1608600672 is a wasteful number, since it uses less digits than its factorization.

1608600672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797940 (or 797929 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1608600672 is about 40107.3643113082. The cubic root of 1608600672 is about 1171.6990611431.

The spelling of 1608600672 in words is "one billion, six hundred eight million, six hundred thousand, six hundred seventy-two".