1604377005 has 128 divisors (see below), whose sum is σ = 3486412800. Its totient is φ = 609638400.

The previous prime is 1604377001. The next prime is 1604377013. The reversal of 1604377005 is 5007734061.

It is not a de Polignac number, because 1604377005 - 2² = 1604377001 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1604377001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 635145 + ... + 637665.

It is an arithmetic number, because the mean of its divisors is an integer number (27237600).

Almost surely, 2^1604377005 is an apocalyptic number.

1604377005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1604377005 is an abundant number, since it is smaller than the sum of its proper divisors (1882035795).

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

1604377005 is a wasteful number, since it uses less digits than its factorization.

1604377005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2595.

The product of its (nonzero) digits is 17640, while the sum is 33.

The square root of 1604377005 is about 40054.6751952878. The cubic root of 1604377005 is about 1170.6726608996.

The spelling of 1604377005 in words is "one billion, six hundred four million, three hundred seventy-seven thousand, five".