1600667952 has 120 divisors (see below), whose sum is σ = 4599486864. Its totient is φ = 479112192.

The previous prime is 1600667947. The next prime is 1600667953. The reversal of 1600667952 is 2597660061.

It is not an unprimeable number, because it can be changed into a prime (1600667953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 297478 + ... + 302810.

Almost surely, 2^1600667952 is an apocalyptic number.

1600667952 is a gapful number since it is divisible by the number (12) 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 1600667952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2299743432).

1600667952 is an abundant number, since it is smaller than the sum of its proper divisors (2998818912).

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

1600667952 is a wasteful number, since it uses less digits than its factorization.

1600667952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5407 (or 5388 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The square root of 1600667952 is about 40008.3485287758. The cubic root of 1600667952 is about 1169.7698312661.

The spelling of 1600667952 in words is "one billion, six hundred million, six hundred sixty-seven thousand, nine hundred fifty-two".