1904168544 has 48 divisors (see below), whose sum is σ = 5001030720. Its totient is φ = 634394240.

The previous prime is 1904168509. The next prime is 1904168549. The reversal of 1904168544 is 4458614091.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×1904168544³ (a number of 29 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1904168496 and 1904168505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1904168549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 243739 + ... + 251429.

It is an arithmetic number, because the mean of its divisors is an integer number (104188140).

Almost surely, 2^1904168544 is an apocalyptic number.

It is an amenable number.

1904168544 is an abundant number, since it is smaller than the sum of its proper divisors (3096862176).

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

1904168544 is a wasteful number, since it uses less digits than its factorization.

1904168544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10283 (or 10275 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 1904168544 is about 43636.7797161981. The cubic root of 1904168544 is about 1239.4674577598.

The spelling of 1904168544 in words is "one billion, nine hundred four million, one hundred sixty-eight thousand, five hundred forty-four".