1606727040 has 128 divisors (see below), whose sum is σ = 5153137920. Its totient is φ = 425809920.

The previous prime is 1606727027. The next prime is 1606727041. The reversal of 1606727040 is 407276061.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 1606726992 and 1606727010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1606727041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 318135 + ... + 323145.

It is an arithmetic number, because the mean of its divisors is an integer number (40258890).

Almost surely, 2^1606727040 is an apocalyptic number.

1606727040 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 1606727040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2576568960).

1606727040 is an abundant number, since it is smaller than the sum of its proper divisors (3546410880).

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

1606727040 is a wasteful number, since it uses less digits than its factorization.

1606727040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5200 (or 5188 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 1606727040 is about 40083.9998004191. Note that the first 3 decimals coincide. The cubic root of 1606727040 is about 1171.2439687575.

The spelling of 1606727040 in words is "one billion, six hundred six million, seven hundred twenty-seven thousand, forty".