1608141920 has 96 divisors (see below), whose sum is σ = 4736745216. Its totient is φ = 501235200.

The previous prime is 1608141919. The next prime is 1608141923. The reversal of 1608141920 is 291418061.

It is a super-2 number, since 2×1608141920² = 5172240869722572800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1608141923) 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, 52946 + ... + 77585.

It is an arithmetic number, because the mean of its divisors is an integer number (49341096).

Almost surely, 2^1608141920 is an apocalyptic number.

1608141920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1608141920 is an abundant number, since it is smaller than the sum of its proper divisors (3128603296).

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

1608141920 is a wasteful number, since it uses less digits than its factorization.

1608141920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130564 (or 130556 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 32.

The square root of 1608141920 is about 40101.6448540456. The cubic root of 1608141920 is about 1171.5876661062.

Adding to 1608141920 its reverse (291418061), we get a palindrome (1899559981).

It can be divided in two parts, 1608141 and 920, that added together give a palindrome (1609061).

The spelling of 1608141920 in words is "one billion, six hundred eight million, one hundred forty-one thousand, nine hundred twenty".