1606563504 has 160 divisors (see below), whose sum is σ = 5675747840. Its totient is φ = 423698688.

The previous prime is 1606563481. The next prime is 1606563509. The reversal of 1606563504 is 4053656061.

1606563504 is a `hidden beast` number, since 16 + 0 + 6 + 5 + 635 + 0 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1606563509) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18879 + ... + 59745.

It is an arithmetic number, because the mean of its divisors is an integer number (35473424).

Almost surely, 2^1606563504 is an apocalyptic number.

1606563504 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 1606563504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2837873920).

1606563504 is an abundant number, since it is smaller than the sum of its proper divisors (4069184336).

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

1606563504 is a wasteful number, since it uses less digits than its factorization.

1606563504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40904 (or 40892 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 1606563504 is about 40081.9598323236. The cubic root of 1606563504 is about 1171.2042301984.

The spelling of 1606563504 in words is "one billion, six hundred six million, five hundred sixty-three thousand, five hundred four".