1604120544 has 384 divisors, whose sum is σ = 5527388160. Its totient is φ = 447897600.

The previous prime is 1604120501. The next prime is 1604120563. The reversal of 1604120544 is 4450214061.

1604120544 is a `hidden beast` number, since 1 + 60 + 41 + 20 + 544 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5919129 + ... + 5919399.

It is an arithmetic number, because the mean of its divisors is an integer number (14394240).

Almost surely, 2^1604120544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1604120544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2763694080).

1604120544 is an abundant number, since it is smaller than the sum of its proper divisors (3923267616).

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

1604120544 is a wasteful number, since it uses less digits than its factorization.

1604120544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 1604120544 is about 40051.4736807524. The cubic root of 1604120544 is about 1170.6102799091.

It can be divided in two parts, 16041 and 20544, that added together give a triangular number (36585 = T₂₇₀).

The spelling of 1604120544 in words is "one billion, six hundred four million, one hundred twenty thousand, five hundred forty-four".