1606941280 has 240 divisors, whose sum is σ = 4573920960. Its totient is φ = 533170176.

The previous prime is 1606941277. The next prime is 1606941289. The reversal of 1606941280 is 821496061.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1606941289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18055476 + ... + 18055564.

It is an arithmetic number, because the mean of its divisors is an integer number (19058004).

Almost surely, 2^1606941280 is an apocalyptic number.

1606941280 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 1606941280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2286960480).

1606941280 is an abundant number, since it is smaller than the sum of its proper divisors (2966979680).

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

1606941280 is an frugal number, since it uses more digits than its factorization.

1606941280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The square root of 1606941280 is about 40086.6720993400. The cubic root of 1606941280 is about 1171.2960240952.

The spelling of 1606941280 in words is "one billion, six hundred six million, nine hundred forty-one thousand, two hundred eighty".