1606941504 has 336 divisors, whose sum is σ = 5658307200. Its totient is φ = 442423296.

The previous prime is 1606941463. The next prime is 1606941551. The reversal of 1606941504 is 4051496061.

1606941504 is a `hidden beast` number, since 1 + 60 + 6 + 94 + 1 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3156802 + ... + 3157310.

It is an arithmetic number, because the mean of its divisors is an integer number (16840200).

Almost surely, 2^1606941504 is an apocalyptic number.

1606941504 is a gapful number since it is divisible by the number (14) 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 1606941504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2829153600).

1606941504 is an abundant number, since it is smaller than the sum of its proper divisors (4051365696).

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

1606941504 is an equidigital number, since it uses as much as digits as its factorization.

1606941504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1606941504 is about 40086.6748932859. The cubic root of 1606941504 is about 1171.2960785196.

The spelling of 1606941504 in words is "one billion, six hundred six million, nine hundred forty-one thousand, five hundred four".